Most Important Questions for Class 12 Mathematics. Try first, then reveal the answer. These are exam-oriented practice items, not copied board papers.
Practice questions aligned to NCERT topics used in CBSE classrooms. These are original exam-oriented questions for revision — not official CBSE board papers and not a guarantee of any exam question. Always match the textbook issued by your school and the latest PDFs on ncert.nic.in and cbseacademic.nic.in.
Answers opened: 0
Practice set
Q1MCQ1 markEasyRevision pick
Choose the correct statement related to Relations and Functions in the chapter Relations and Functions.
A. CBSE often tests a concept by asking a daily-life example from the same chapter
B. Relations and Functions is an NCERT chapter taught in CBSE Class 12 Mathematics
C. Composite functions
D. Equivalence relation
Answer
D. Equivalence relation
Explanation
Equivalence relation. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q5MCQ1 markModerateRevision pick
Choose the correct statement related to Relations and Functions in the chapter Relations and Functions.
A. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
B. Mix MCQs with short answers so you remember both facts and explanations from Relations and Functions
C. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
D. Binary operations if in your edition
Answer
D. Binary operations if in your edition
Explanation
Binary operations if in your edition. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q9MCQ1 markEasyRevision pick
Choose the correct statement related to Examples in the chapter Relations and Functions.
A. Equivalence relation
B. This idea is not part of the NCERT chapter
C. Write three points from Relations and Functions in your own words; that is enough for a short-answer start
D. CBSE often tests a concept by asking a daily-life example from the same chapter
Answer
D. CBSE often tests a concept by asking a daily-life example from the same chapter
Explanation
CBSE often tests a concept by asking a daily-life example from the same chapter. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q13MCQ1 markEasyRevision pick
Choose the correct statement related to Practice in the chapter Relations and Functions.
A. Binary operations if in your edition
B. The textbook says the opposite of this statement
C. One-one, onto
D. Mix MCQs with short answers so you remember both facts and explanations from Relations and Functions
Answer
D. Mix MCQs with short answers so you remember both facts and explanations from Relations and Functions
Explanation
Mix MCQs with short answers so you remember both facts and explanations from Relations and Functions. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q17MCQ1 markEasyRevision pick
Choose the correct statement related to Relations and Functions in the chapter Relations and Functions.
A. Invertible function
B. Composite functions
C. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
D. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
Answer
A. Invertible function
Explanation
Invertible function. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q413 Mark3 marksModerateRevision pick
Explain Relations and Functions in about three points, with one example.
Answer
One-one, onto. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
Explanation
Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q1MCQ1 markEasyRevision pick
Choose the correct statement related to Inverse Trigonometric Functions in the chapter Inverse Trigonometric Functions.
A. CBSE often tests a concept by asking a daily-life example from the same chapter
B. Domain and range of sin−1, cos−1, tan−1
C. Inverse Trigonometric Functions is an NCERT chapter taught in CBSE Class 12 Mathematics
D. Properties as retained
Answer
B. Domain and range of sin−1, cos−1, tan−1
Explanation
Domain and range of sin−1, cos−1, tan−1. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Inverse Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q5MCQ1 markModerateRevision pick
Choose the correct statement related to Inverse Trigonometric Functions in the chapter Inverse Trigonometric Functions.
A. Mix MCQs with short answers so you remember both facts and explanations from Inverse Trigonometric Functions
B. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
C. Graphs
D. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
Answer
C. Graphs
Explanation
Graphs. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Inverse Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q9MCQ1 markEasyRevision pick
Choose the correct statement related to Examples in the chapter Inverse Trigonometric Functions.
A. Domain and range of sin−1, cos−1, tan−1
B. This idea is not part of the NCERT chapter
C. Write three points from Inverse Trigonometric Functions in your own words; that is enough for a short-answer start
D. CBSE often tests a concept by asking a daily-life example from the same chapter
Answer
D. CBSE often tests a concept by asking a daily-life example from the same chapter
Explanation
CBSE often tests a concept by asking a daily-life example from the same chapter. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Inverse Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q13MCQ1 markEasyRevision pick
Choose the correct statement related to Practice in the chapter Inverse Trigonometric Functions.
A. The textbook says the opposite of this statement
B. Mix MCQs with short answers so you remember both facts and explanations from Inverse Trigonometric Functions
C. Graphs
D. Principal value branches
Answer
B. Mix MCQs with short answers so you remember both facts and explanations from Inverse Trigonometric Functions
Explanation
Mix MCQs with short answers so you remember both facts and explanations from Inverse Trigonometric Functions. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Inverse Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q17MCQ1 markEasyRevision pick
Choose the correct statement related to Inverse Trigonometric Functions in the chapter Inverse Trigonometric Functions.
A. Simplification
B. Properties as retained
C. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
D. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
Answer
A. Simplification
Explanation
Simplification. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Inverse Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q413 Mark3 marksModerateRevision pick
Explain Inverse Trigonometric Functions in about three points, with one example.
Answer
Principal value branches. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
Explanation
Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Inverse Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q1MCQ1 markEasyRevision pick
Choose the correct statement related to Matrices in the chapter Matrices.
A. CBSE often tests a concept by asking a daily-life example from the same chapter
B. Matrices is an NCERT chapter taught in CBSE Class 12 Mathematics
C. Transpose
D. Order m×n
Answer
D. Order m×n
Explanation
Order m×n. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Matrices · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q5MCQ1 markModerateRevision pick
Choose the correct statement related to Matrices in the chapter Matrices.
A. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
B. Mix MCQs with short answers so you remember both facts and explanations from Matrices
C. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
D. Elementary operations for inverse
Answer
D. Elementary operations for inverse
Explanation
Elementary operations for inverse. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Matrices · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q9MCQ1 markEasyRevision pick
Choose the correct statement related to Examples in the chapter Matrices.
A. Order m×n
B. This idea is not part of the NCERT chapter
C. Write three points from Matrices in your own words; that is enough for a short-answer start
D. CBSE often tests a concept by asking a daily-life example from the same chapter
Answer
D. CBSE often tests a concept by asking a daily-life example from the same chapter
Explanation
CBSE often tests a concept by asking a daily-life example from the same chapter. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Matrices · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q13MCQ1 markEasyRevision pick
Choose the correct statement related to Practice in the chapter Matrices.
A. Elementary operations for inverse
B. Addition and multiplication rules
C. The textbook says the opposite of this statement
D. Mix MCQs with short answers so you remember both facts and explanations from Matrices
Answer
D. Mix MCQs with short answers so you remember both facts and explanations from Matrices
Explanation
Mix MCQs with short answers so you remember both facts and explanations from Matrices. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Matrices · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q17MCQ1 markEasyRevision pick
Choose the correct statement related to Matrices in the chapter Matrices.
A. Symmetric and skew-symmetric
B. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
C. Transpose
D. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
Answer
A. Symmetric and skew-symmetric
Explanation
Symmetric and skew-symmetric. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Matrices · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q413 Mark3 marksModerateRevision pick
Explain Matrices in about three points, with one example.
Answer
Addition and multiplication rules. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
Explanation
Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Matrices · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q1MCQ1 markEasyRevision pick
Choose the correct statement related to Determinants in the chapter Determinants.
A. CBSE often tests a concept by asking a daily-life example from the same chapter
B. Determinants is an NCERT chapter taught in CBSE Class 12 Mathematics
C. det of 2×2 and 3×3
D. A⁻¹=(1/|A|) adj A
Answer
C. det of 2×2 and 3×3
Explanation
det of 2×2 and 3×3. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Determinants · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q5MCQ1 markModerateRevision pick
Choose the correct statement related to Determinants in the chapter Determinants.
A. Mix MCQs with short answers so you remember both facts and explanations from Determinants
B. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
C. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
D. Area of triangle
Answer
D. Area of triangle
Explanation
Area of triangle. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Determinants · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q9MCQ1 markEasyRevision pick
Choose the correct statement related to Examples in the chapter Determinants.
A. Write three points from Determinants in your own words; that is enough for a short-answer start
B. det of 2×2 and 3×3
C. This idea is not part of the NCERT chapter
D. CBSE often tests a concept by asking a daily-life example from the same chapter
Answer
D. CBSE often tests a concept by asking a daily-life example from the same chapter
Explanation
CBSE often tests a concept by asking a daily-life example from the same chapter. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Determinants · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q13MCQ1 markEasyRevision pick
Choose the correct statement related to Practice in the chapter Determinants.
A. Minors and cofactors
B. The textbook says the opposite of this statement
C. Area of triangle
D. Mix MCQs with short answers so you remember both facts and explanations from Determinants
Answer
D. Mix MCQs with short answers so you remember both facts and explanations from Determinants
Explanation
Mix MCQs with short answers so you remember both facts and explanations from Determinants. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Determinants · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q17MCQ1 markEasyRevision pick
Choose the correct statement related to Determinants in the chapter Determinants.
A. A⁻¹=(1/|A|) adj A
B. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
C. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
D. Consistent systems
Answer
D. Consistent systems
Explanation
Consistent systems. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Determinants · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q413 Mark3 marksModerateRevision pick
Explain Determinants in about three points, with one example.
Answer
Minors and cofactors. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
Explanation
Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Determinants · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q1MCQ1 markEasyRevision pick
Choose the correct statement related to Continuity and Differentiability in the chapter Continuity and Differentiability.
A. CBSE often tests a concept by asking a daily-life example from the same chapter
B. Continuity at a point
C. log and exponential derivatives
D. Continuity and Differentiability is an NCERT chapter taught in CBSE Class 12 Mathematics
Answer
B. Continuity at a point
Explanation
Continuity at a point. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Continuity and Differentiability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q5MCQ1 markModerateRevision pick
Choose the correct statement related to Continuity and Differentiability in the chapter Continuity and Differentiability.
A. Mix MCQs with short answers so you remember both facts and explanations from Continuity and Differentiability
B. Second order derivatives
C. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
D. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
Answer
B. Second order derivatives
Explanation
Second order derivatives. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Continuity and Differentiability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q9MCQ1 markEasyRevision pick
Choose the correct statement related to Examples in the chapter Continuity and Differentiability.
A. Continuity at a point
B. Write three points from Continuity and Differentiability in your own words; that is enough for a short-answer start
C. This idea is not part of the NCERT chapter
D. CBSE often tests a concept by asking a daily-life example from the same chapter
Answer
D. CBSE often tests a concept by asking a daily-life example from the same chapter
Explanation
CBSE often tests a concept by asking a daily-life example from the same chapter. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Continuity and Differentiability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q13MCQ1 markEasyRevision pick
Choose the correct statement related to Practice in the chapter Continuity and Differentiability.
A. Chain, product, quotient, implicit
B. The textbook says the opposite of this statement
C. Second order derivatives
D. Mix MCQs with short answers so you remember both facts and explanations from Continuity and Differentiability
Answer
D. Mix MCQs with short answers so you remember both facts and explanations from Continuity and Differentiability
Explanation
Mix MCQs with short answers so you remember both facts and explanations from Continuity and Differentiability. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Continuity and Differentiability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q17MCQ1 markEasyRevision pick
Choose the correct statement related to Continuity and Differentiability in the chapter Continuity and Differentiability.
A. log and exponential derivatives
B. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
C. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
D. Rolle and LMVT
Answer
D. Rolle and LMVT
Explanation
Rolle and LMVT. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Continuity and Differentiability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q413 Mark3 marksModerateRevision pick
Explain Continuity and Differentiability in about three points, with one example.
Answer
Chain, product, quotient, implicit. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
Explanation
Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Continuity and Differentiability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q1MCQ1 markEasyRevision pick
Choose the correct statement related to Application of Derivatives in the chapter Application of Derivatives.
A. CBSE often tests a concept by asking a daily-life example from the same chapter
B. Increasing/decreasing
C. dy/dx as rate
D. Application of Derivatives is an NCERT chapter taught in CBSE Class 12 Mathematics
Answer
C. dy/dx as rate
Explanation
dy/dx as rate. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Application of Derivatives · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q5MCQ1 markModerateRevision pick
Choose the correct statement related to Word problems in the chapter Application of Derivatives.
A. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
B. Word problems: box, wire, medicine
C. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
D. Mix MCQs with short answers so you remember both facts and explanations from Application of Derivatives
Answer
B. Word problems: box, wire, medicine
Explanation
Word problems: box, wire, medicine. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Application of Derivatives · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q9MCQ1 markEasyRevision pick
Choose the correct statement related to Examples in the chapter Application of Derivatives.
A. Write three points from Application of Derivatives in your own words; that is enough for a short-answer start
B. This idea is not part of the NCERT chapter
C. CBSE often tests a concept by asking a daily-life example from the same chapter
D. dy/dx as rate
Answer
C. CBSE often tests a concept by asking a daily-life example from the same chapter
Explanation
CBSE often tests a concept by asking a daily-life example from the same chapter. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Application of Derivatives · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q13MCQ1 markEasyRevision pick
Choose the correct statement related to Practice in the chapter Application of Derivatives.
A. The textbook says the opposite of this statement
B. Mix MCQs with short answers so you remember both facts and explanations from Application of Derivatives
C. Tangent and normal
D. Word problems: box, wire, medicine
Answer
B. Mix MCQs with short answers so you remember both facts and explanations from Application of Derivatives
Explanation
Mix MCQs with short answers so you remember both facts and explanations from Application of Derivatives. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Application of Derivatives · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q17MCQ1 markEasyRevision pick
Choose the correct statement related to Application of Derivatives in the chapter Application of Derivatives.
A. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
B. First and second derivative tests
C. Increasing/decreasing
D. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
Answer
B. First and second derivative tests
Explanation
First and second derivative tests. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Application of Derivatives · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q413 Mark3 marksModerateRevision pick
Explain Application of Derivatives in about three points, with one example.
Answer
Tangent and normal. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
Explanation
Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Application of Derivatives · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q1MCQ1 markEasyRevision pick
Choose the correct statement related to Integrals in the chapter Integrals.
A. Definite integral as limit of sum
B. CBSE often tests a concept by asking a daily-life example from the same chapter
C. Integrals is an NCERT chapter taught in CBSE Class 12 Mathematics
D. Anti-derivative
Answer
D. Anti-derivative
Explanation
Anti-derivative. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q5MCQ1 markModerateRevision pick
Choose the correct statement related to Integrals in the chapter Integrals.
A. FTC
B. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
C. Mix MCQs with short answers so you remember both facts and explanations from Integrals
D. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
Answer
A. FTC
Explanation
FTC. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q9MCQ1 markEasyRevision pick
Choose the correct statement related to Examples in the chapter Integrals.
A. This idea is not part of the NCERT chapter
B. Write three points from Integrals in your own words; that is enough for a short-answer start
C. CBSE often tests a concept by asking a daily-life example from the same chapter
D. Anti-derivative
Answer
C. CBSE often tests a concept by asking a daily-life example from the same chapter
Explanation
CBSE often tests a concept by asking a daily-life example from the same chapter. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q13MCQ1 markEasyRevision pick
Choose the correct statement related to Practice in the chapter Integrals.
A. Mix MCQs with short answers so you remember both facts and explanations from Integrals
B. FTC
C. The textbook says the opposite of this statement
D. Substitution, parts, partial fractions
Answer
A. Mix MCQs with short answers so you remember both facts and explanations from Integrals
Explanation
Mix MCQs with short answers so you remember both facts and explanations from Integrals. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q17MCQ1 markEasyRevision pick
Choose the correct statement related to Integrals in the chapter Integrals.
A. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
B. Properties of definite integrals
C. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
D. Definite integral as limit of sum
Answer
B. Properties of definite integrals
Explanation
Properties of definite integrals. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q413 Mark3 marksModerateRevision pick
Explain Integrals in about three points, with one example.
Answer
Substitution, parts, partial fractions. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
Explanation
Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q1MCQ1 markEasyRevision pick
Choose the correct statement related to Application of Integrals in the chapter Application of Integrals.
A. CBSE often tests a concept by asking a daily-life example from the same chapter
B. Application of Integrals is an NCERT chapter taught in CBSE Class 12 Mathematics
C. Vertical vs horizontal strips
D. Area = ∫ y dx
Answer
D. Area = ∫ y dx
Explanation
Area = ∫ y dx. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Application of Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q5MCQ1 markModerateRevision pick
Choose the correct statement related to Application of Integrals in the chapter Application of Integrals.
A. Mix MCQs with short answers so you remember both facts and explanations from Application of Integrals
B. Sketch first
C. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
D. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
Answer
B. Sketch first
Explanation
Sketch first. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Application of Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q9MCQ1 markEasyRevision pick
Choose the correct statement related to Examples in the chapter Application of Integrals.
A. Area = ∫ y dx
B. This idea is not part of the NCERT chapter
C. Write three points from Application of Integrals in your own words; that is enough for a short-answer start
D. CBSE often tests a concept by asking a daily-life example from the same chapter
Answer
D. CBSE often tests a concept by asking a daily-life example from the same chapter
Explanation
CBSE often tests a concept by asking a daily-life example from the same chapter. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Application of Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q13MCQ1 markEasyRevision pick
Choose the correct statement related to Practice in the chapter Application of Integrals.
A. Sketch first
B. Area between curves
C. The textbook says the opposite of this statement
D. Mix MCQs with short answers so you remember both facts and explanations from Application of Integrals
Answer
D. Mix MCQs with short answers so you remember both facts and explanations from Application of Integrals
Explanation
Mix MCQs with short answers so you remember both facts and explanations from Application of Integrals. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Application of Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q17MCQ1 markEasyRevision pick
Choose the correct statement related to Standard curves in the chapter Application of Integrals.
A. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
B. Standard curves: line, circle, parabola, ellipse
C. Vertical vs horizontal strips
D. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
Answer
B. Standard curves: line, circle, parabola, ellipse
Explanation
Standard curves: line, circle, parabola, ellipse. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Application of Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q413 Mark3 marksModerateRevision pick
Explain Application of Integrals in about three points, with one example.
Answer
Area between curves. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
Explanation
Three-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Application of Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
FAQs
Are these official CBSE board questions?
No. They are original practice questions aligned to NCERT topics used in CBSE classrooms. Official sample papers are published on cbseacademic.nic.in.
Will these questions appear in the board exam?
Nobody can promise a question. Use them for revision of frequently tested concepts and exam-style practice.
Is the chapter list the latest NCERT list?
Yes, the catalog follows current NCERT textbooks used in CBSE schools (including new middle-stage books such as Ganita Prakash and Curiosity). Always match the book issued by your school.
Where are NCERT solutions?
Open the NCERT-style practice link on this subject or chapter. For word-for-word textbook exercise answers, use the NCERT book itself; we do not copy solution keys from other websites.
What is the suggested URL pattern?
Hub /cbse/, then /cbse/class-12/, then subject and chapter slugs.
Why is this a separate URL?
So students searching for “Most Important Questions” land on a filtered set, while the chapter page remains the full 100-question bank. Same facts, different search intent.
Today's 3-step path
Follow this loop every day: mixed test, current affairs, then today's subject. A new set arrives tomorrow.
