Important Formulas 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.
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).
Q2MCQ1 markEasy
Choose the correct statement related to Relations and Functions in the chapter Relations and Functions.
A. One-one, onto
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. Invertible function
Answer
A. One-one, onto
Explanation
One-one, onto. 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).
Q3MCQ1 markEasy
Choose the correct statement related to Relations and Functions in the chapter Relations and Functions.
A. Every chapter ends with keywords or a summary that is useful for one-mark answers
B. Composite functions
C. Write three points from Relations and Functions in your own words; that is enough for a short-answer start
D. Binary operations if in your edition
Answer
B. Composite functions
Explanation
Composite 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).
Q4MCQ1 markEasy
Choose the correct statement related to Relations and Functions in the chapter Relations and Functions.
A. Use the terms used in the NCERT book; do not replace them with unofficial names
B. Invertible function
C. CBSE often tests a concept by asking a daily-life example from the same chapter
D. Relations and Functions is an NCERT chapter taught in CBSE Class 12 Mathematics
Answer
B. 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).
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).
Q2MCQ1 markEasy
Choose the correct statement related to Inverse Trigonometric Functions in the chapter Inverse Trigonometric Functions.
A. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
B. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
C. Simplification
D. Principal value branches
Answer
D. Principal value branches
Explanation
Principal value branches. 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).
Q3MCQ1 markEasy
Choose the correct statement related to Inverse Trigonometric Functions in the chapter Inverse Trigonometric Functions.
A. Write three points from Inverse Trigonometric Functions in your own words; that is enough for a short-answer start
B. Every chapter ends with keywords or a summary that is useful for one-mark answers
C. Properties as retained
D. Graphs
Answer
C. Properties as retained
Explanation
Properties as retained. 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).
Q4MCQ1 markEasy
Choose the correct statement related to Inverse Trigonometric Functions in the chapter Inverse Trigonometric Functions.
A. Inverse Trigonometric Functions is an NCERT chapter taught in CBSE Class 12 Mathematics
B. Simplification
C. Use the terms used in the NCERT book; do not replace them with unofficial names
D. CBSE often tests a concept by asking a daily-life example from the same chapter
Answer
B. 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).
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).
Q2MCQ1 markEasy
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. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
C. Addition and multiplication rules
D. Symmetric and skew-symmetric
Answer
C. Addition and multiplication rules
Explanation
Addition and multiplication rules. 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).
Q3MCQ1 markEasy
Choose the correct statement related to Matrices in the chapter Matrices.
A. Transpose
B. Write three points from Matrices in your own words; that is enough for a short-answer start
C. Elementary operations for inverse
D. Every chapter ends with keywords or a summary that is useful for one-mark answers
Answer
A. Transpose
Explanation
Transpose. 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).
Q4MCQ1 markEasy
Choose the correct statement related to Matrices in the chapter Matrices.
A. Symmetric and skew-symmetric
B. Use the terms used in the NCERT book; do not replace them with unofficial names
C. Matrices is an NCERT chapter taught in CBSE Class 12 Mathematics
D. CBSE often tests a concept by asking a daily-life example from the same chapter
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).
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).
Q2MCQ1 markEasy
Choose the correct statement related to Determinants in the chapter Determinants.
A. Consistent systems
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. Minors and cofactors
Answer
D. Minors and cofactors
Explanation
Minors and cofactors. 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).
Q3MCQ1 markEasy
Choose the correct statement related to Determinants in the chapter Determinants.
A. Every chapter ends with keywords or a summary that is useful for one-mark answers
B. Write three points from Determinants in your own words; that is enough for a short-answer start
C. Area of triangle
D. A⁻¹=(1/|A|) adj A
Answer
D. A⁻¹=(1/|A|) adj A
Explanation
A⁻¹=(1/|A|) adj A. 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).
Q4MCQ1 markEasy
Choose the correct statement related to Determinants in the chapter Determinants.
A. Consistent systems
B. Use the terms used in the NCERT book; do not replace them with unofficial names
C. CBSE often tests a concept by asking a daily-life example from the same chapter
D. Determinants is an NCERT chapter taught in CBSE Class 12 Mathematics
Answer
A. 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).
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).
Q2MCQ1 markEasy
Choose the correct statement related to Continuity and Differentiability in the chapter Continuity and Differentiability.
A. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
B. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
C. Rolle and LMVT
D. Chain, product, quotient, implicit
Answer
D. Chain, product, quotient, implicit
Explanation
Chain, product, quotient, implicit. 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).
Q3MCQ1 markEasy
Choose the correct statement related to Continuity and Differentiability in the chapter Continuity and Differentiability.
A. Second order derivatives
B. Every chapter ends with keywords or a summary that is useful for one-mark answers
C. log and exponential derivatives
D. Write three points from Continuity and Differentiability in your own words; that is enough for a short-answer start
Answer
C. log and exponential derivatives
Explanation
log and exponential 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).
Q4MCQ1 markEasy
Choose the correct statement related to Continuity and Differentiability in the chapter Continuity and Differentiability.
A. Continuity and Differentiability is an NCERT chapter taught in CBSE Class 12 Mathematics
B. Use the terms used in the NCERT book; do not replace them with unofficial names
C. Rolle and LMVT
D. CBSE often tests a concept by asking a daily-life example from the same chapter
Answer
C. 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).
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).
Q2MCQ1 markEasy
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. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
C. First and second derivative tests
D. Tangent and normal
Answer
D. Tangent and normal
Explanation
Tangent and normal. 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).
Q3MCQ1 markEasy
Choose the correct statement related to Application of Derivatives in the chapter Application of Derivatives.
A. Increasing/decreasing
B. Every chapter ends with keywords or a summary that is useful for one-mark answers
C. Write three points from Application of Derivatives in your own words; that is enough for a short-answer start
D. Word problems: box, wire, medicine
Answer
A. Increasing/decreasing
Explanation
Increasing/decreasing. 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).
Q4MCQ1 markEasy
Choose the correct statement related to Application of Derivatives in the chapter Application of Derivatives.
A. Application of Derivatives is an NCERT chapter taught in CBSE Class 12 Mathematics
B. First and second derivative tests
C. Use the terms used in the NCERT book; do not replace them with unofficial names
D. CBSE often tests a concept by asking a daily-life example from the same chapter
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).
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).
Q2MCQ1 markEasy
Choose the correct statement related to Integrals in the chapter Integrals.
A. Substitution, parts, partial fractions
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. Properties of definite integrals
Answer
A. Substitution, parts, partial fractions
Explanation
Substitution, parts, partial fractions. 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).
Q3MCQ1 markEasy
Choose the correct statement related to Integrals in the chapter Integrals.
A. FTC
B. Definite integral as limit of sum
C. Every chapter ends with keywords or a summary that is useful for one-mark answers
D. Write three points from Integrals in your own words; that is enough for a short-answer start
Answer
B. Definite integral as limit of sum
Explanation
Definite integral as limit of sum. 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).
Q4MCQ1 markEasy
Choose the correct statement related to Integrals in the chapter Integrals.
A. Use the terms used in the NCERT book; do not replace them with unofficial names
B. Properties of definite integrals
C. Integrals is an NCERT chapter taught in CBSE Class 12 Mathematics
D. CBSE often tests a concept by asking a daily-life example from the same chapter
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).
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).
Q2MCQ1 markEasy
Choose the correct statement related to Application of Integrals in the chapter Application of Integrals.
A. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
B. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
C. Area between curves
D. Standard curves: line, circle, parabola, ellipse
Answer
C. Area between curves
Explanation
Area between curves. 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).
Q3MCQ1 markEasy
Choose the correct statement related to Application of Integrals in the chapter Application of Integrals.
A. Sketch first
B. Every chapter ends with keywords or a summary that is useful for one-mark answers
C. Write three points from Application of Integrals in your own words; that is enough for a short-answer start
D. Vertical vs horizontal strips
Answer
D. Vertical vs horizontal strips
Explanation
Vertical vs horizontal strips. 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).
Q4MCQ1 markEasy
Choose the correct statement related to Standard curves in the chapter Application of Integrals.
A. Use the terms used in the NCERT book; do not replace them with unofficial names
B. Application of Integrals is an NCERT chapter taught in CBSE Class 12 Mathematics
C. Standard curves: line, circle, parabola, ellipse
D. CBSE often tests a concept by asking a daily-life example from the same chapter
Answer
C. 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).
Q1MCQ1 markEasyRevision pick
Choose the correct statement related to Differential Equations in the chapter Differential Equations.
A. CBSE often tests a concept by asking a daily-life example from the same chapter
B. Order and degree
C. Differential Equations is an NCERT chapter taught in CBSE Class 12 Mathematics
D. Homogeneous
Answer
B. Order and degree
Explanation
Order and degree. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Differential Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q2MCQ1 markEasy
Choose the correct statement related to Differential Equations in the chapter Differential Equations.
A. Variable separable
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. Linear dy/dx+Py=Q
Answer
A. Variable separable
Explanation
Variable separable. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Differential Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q3MCQ1 markEasy
Choose the correct statement related to Differential Equations in the chapter Differential Equations.
A. Every chapter ends with keywords or a summary that is useful for one-mark answers
B. Write three points from Differential Equations in your own words; that is enough for a short-answer start
C. Homogeneous
D. Formation by eliminating constants
Answer
C. Homogeneous
Explanation
Homogeneous. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Differential Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q4MCQ1 markEasy
Choose the correct statement related to Differential Equations in the chapter Differential Equations.
A. Differential Equations is an NCERT chapter taught in CBSE Class 12 Mathematics
B. Use the terms used in the NCERT book; do not replace them with unofficial names
C. Linear dy/dx+Py=Q
D. CBSE often tests a concept by asking a daily-life example from the same chapter
Answer
C. Linear dy/dx+Py=Q
Explanation
Linear dy/dx+Py=Q. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Differential Equations · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q1MCQ1 markEasyRevision pick
Choose the correct statement related to Vector Algebra in the chapter Vector Algebra.
A. CBSE often tests a concept by asking a daily-life example from the same chapter
B. Vector vs scalar
C. a·b = |a||b|cosθ
D. Vector Algebra is an NCERT chapter taught in CBSE Class 12 Mathematics
Answer
B. Vector vs scalar
Explanation
Vector vs scalar. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Vector Algebra · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q2MCQ1 markEasy
Choose the correct statement related to Vector Algebra in the chapter Vector Algebra.
A. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
B. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
C. a×b perpendicular to plane
D. Unit vector
Answer
D. Unit vector
Explanation
Unit vector. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Vector Algebra · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q3MCQ1 markEasy
Choose the correct statement related to Vector Algebra in the chapter Vector Algebra.
A. Every chapter ends with keywords or a summary that is useful for one-mark answers
B. Write three points from Vector Algebra in your own words; that is enough for a short-answer start
C. a·b = |a||b|cosθ
D. Scalar triple product
Answer
C. a·b = |a||b|cosθ
Explanation
a·b = |a||b|cosθ. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Vector Algebra · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q4MCQ1 markEasy
Choose the correct statement related to Vector Algebra in the chapter Vector Algebra.
A. Use the terms used in the NCERT book; do not replace them with unofficial names
B. a×b perpendicular to plane
C. Vector Algebra is an NCERT chapter taught in CBSE Class 12 Mathematics
D. CBSE often tests a concept by asking a daily-life example from the same chapter
Answer
B. a×b perpendicular to plane
Explanation
a×b perpendicular to plane. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Vector Algebra · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q1MCQ1 markEasyRevision pick
Choose the correct statement related to Three Dimensional Geometry in the chapter Three Dimensional Geometry.
A. DCs and DRs
B. CBSE often tests a concept by asking a daily-life example from the same chapter
C. Three Dimensional Geometry is an NCERT chapter taught in CBSE Class 12 Mathematics
D. Angle between lines
Answer
A. DCs and DRs
Explanation
DCs and DRs. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Three Dimensional Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q2MCQ1 markEasy
Choose the correct statement related to Three Dimensional Geometry in the chapter Three Dimensional Geometry.
A. Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions
B. If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures
C. Equation of a line
D. Plane: ax+by+cz+d=0
Answer
C. Equation of a line
Explanation
Equation of a line. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Three Dimensional Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q3MCQ1 markEasy
Choose the correct statement related to Three Dimensional Geometry in the chapter Three Dimensional Geometry.
A. Every chapter ends with keywords or a summary that is useful for one-mark answers
B. Angle between lines
C. Write three points from Three Dimensional Geometry in your own words; that is enough for a short-answer start
D. Distance from point to plane
Answer
B. Angle between lines
Explanation
Angle between lines. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Three Dimensional Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q4MCQ1 markEasy
Choose the correct statement related to Plane in the chapter Three Dimensional Geometry.
A. Use the terms used in the NCERT book; do not replace them with unofficial names
B. Plane: ax+by+cz+d=0
C. Three Dimensional Geometry is an NCERT chapter taught in CBSE Class 12 Mathematics
D. CBSE often tests a concept by asking a daily-life example from the same chapter
Answer
B. Plane: ax+by+cz+d=0
Explanation
Plane: ax+by+cz+d=0. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Three Dimensional Geometry · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q1MCQ1 markEasyRevision pick
Choose the correct statement related to Linear Programming in the chapter Linear Programming.
A. Linear Programming is an NCERT chapter taught in CBSE Class 12 Mathematics
B. CBSE often tests a concept by asking a daily-life example from the same chapter
C. Feasible region
D. Objective function
Answer
D. Objective function
Explanation
Objective function. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q2MCQ1 markEasy
Choose the correct statement related to Linear Programming in the chapter Linear Programming.
A. Constraints
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. Corner-point method
Answer
A. Constraints
Explanation
Constraints. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q3MCQ1 markEasy
Choose the correct statement related to Linear Programming in the chapter Linear Programming.
A. Every chapter ends with keywords or a summary that is useful for one-mark answers
B. Bounded vs unbounded
C. Write three points from Linear Programming in your own words; that is enough for a short-answer start
D. Feasible region
Answer
D. Feasible region
Explanation
Feasible region. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q4MCQ1 markEasy
Choose the correct statement related to Linear Programming in the chapter Linear Programming.
A. Linear Programming is an NCERT chapter taught in CBSE Class 12 Mathematics
B. Use the terms used in the NCERT book; do not replace them with unofficial names
C. CBSE often tests a concept by asking a daily-life example from the same chapter
D. Corner-point method
Answer
D. Corner-point method
Explanation
Corner-point method. The other options mix ideas from nearby topics or reverse the textbook fact.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Linear Programming · 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 “Important Formulas” 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.
