HOTS 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
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Relations and Functions”, what mistake could they make while solving a question from Relations and Functions?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Relations and Functions. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “Equivalence relation”, what mistake could they make while solving a question from Relations and Functions?
Answer
They would use the wrong term or the reverse relation. Remember: Equivalence relation. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “One-one, onto”, what mistake could they make while solving a question from Relations and Functions?
Answer
They would use the wrong term or the reverse relation. Remember: One-one, onto. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Composite functions”, what mistake could they make while solving a question from Relations and Functions?
Answer
They would use the wrong term or the reverse relation. Remember: Composite functions. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Invertible function”, what mistake could they make while solving a question from Relations and Functions?
Answer
They would use the wrong term or the reverse relation. Remember: Invertible function. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Binary operations if in your edition”, what mistake could they make while solving a question from Relations and Functions?
Answer
They would use the wrong term or the reverse relation. Remember: Binary operations if in your edition. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Relations and Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Inverse Trigonometric Functions”, what mistake could they make while solving a question from Inverse Trigonometric Functions?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Inverse Trigonometric Functions. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Inverse Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “Domain and range of sin−1, cos−1, tan−1”, what mistake could they make while solving a question from Inverse Trigonometric Functions?
Answer
They would use the wrong term or the reverse relation. Remember: Domain and range of sin−1, cos−1, tan−1. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Inverse Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Principal value branches”, what mistake could they make while solving a question from Inverse Trigonometric Functions?
Answer
They would use the wrong term or the reverse relation. Remember: Principal value branches. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Inverse Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Properties as retained”, what mistake could they make while solving a question from Inverse Trigonometric Functions?
Answer
They would use the wrong term or the reverse relation. Remember: Properties as retained. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Inverse Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Simplification”, what mistake could they make while solving a question from Inverse Trigonometric Functions?
Answer
They would use the wrong term or the reverse relation. Remember: Simplification. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Inverse Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Graphs”, what mistake could they make while solving a question from Inverse Trigonometric Functions?
Answer
They would use the wrong term or the reverse relation. Remember: Graphs. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Inverse Trigonometric Functions · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Matrices”, what mistake could they make while solving a question from Matrices?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Matrices. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Matrices · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “Order m×n”, what mistake could they make while solving a question from Matrices?
Answer
They would use the wrong term or the reverse relation. Remember: Order m×n. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Matrices · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Addition and multiplication rules”, what mistake could they make while solving a question from Matrices?
Answer
They would use the wrong term or the reverse relation. Remember: Addition and multiplication rules. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Matrices · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Transpose”, what mistake could they make while solving a question from Matrices?
Answer
They would use the wrong term or the reverse relation. Remember: Transpose. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Matrices · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Symmetric and skew-symmetric”, what mistake could they make while solving a question from Matrices?
Answer
They would use the wrong term or the reverse relation. Remember: Symmetric and skew-symmetric. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Matrices · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Elementary operations for inverse”, what mistake could they make while solving a question from Matrices?
Answer
They would use the wrong term or the reverse relation. Remember: Elementary operations for inverse. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Matrices · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Determinants”, what mistake could they make while solving a question from Determinants?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Determinants. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Determinants · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “det of 2×2 and 3×3”, what mistake could they make while solving a question from Determinants?
Answer
They would use the wrong term or the reverse relation. Remember: det of 2×2 and 3×3. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Determinants · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Minors and cofactors”, what mistake could they make while solving a question from Determinants?
Answer
They would use the wrong term or the reverse relation. Remember: Minors and cofactors. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Determinants · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “A⁻¹=(1/|A|) adj A”, what mistake could they make while solving a question from Determinants?
Answer
They would use the wrong term or the reverse relation. Remember: A⁻¹=(1/|A|) adj A. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Determinants · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Consistent systems”, what mistake could they make while solving a question from Determinants?
Answer
They would use the wrong term or the reverse relation. Remember: Consistent systems. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Determinants · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Area of triangle”, what mistake could they make while solving a question from Determinants?
Answer
They would use the wrong term or the reverse relation. Remember: Area of triangle. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Determinants · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Continuity and Differentiability”, what mistake could they make while solving a question from Continuity and Differentiability?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Continuity and Differentiability. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Continuity and Differentiability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “Continuity at a point”, what mistake could they make while solving a question from Continuity and Differentiability?
Answer
They would use the wrong term or the reverse relation. Remember: Continuity at a point. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Continuity and Differentiability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Chain, product, quotient, implicit”, what mistake could they make while solving a question from Continuity and Differentiability?
Answer
They would use the wrong term or the reverse relation. Remember: Chain, product, quotient, implicit. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Continuity and Differentiability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “log and exponential derivatives”, what mistake could they make while solving a question from Continuity and Differentiability?
Answer
They would use the wrong term or the reverse relation. Remember: log and exponential derivatives. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Continuity and Differentiability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Rolle and LMVT”, what mistake could they make while solving a question from Continuity and Differentiability?
Answer
They would use the wrong term or the reverse relation. Remember: Rolle and LMVT. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Continuity and Differentiability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Second order derivatives”, what mistake could they make while solving a question from Continuity and Differentiability?
Answer
They would use the wrong term or the reverse relation. Remember: Second order derivatives. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Continuity and Differentiability · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Application of Derivatives”, what mistake could they make while solving a question from Application of Derivatives?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Application of Derivatives. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Application of Derivatives · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “dy/dx as rate”, what mistake could they make while solving a question from Application of Derivatives?
Answer
They would use the wrong term or the reverse relation. Remember: dy/dx as rate. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Application of Derivatives · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Tangent and normal”, what mistake could they make while solving a question from Application of Derivatives?
Answer
They would use the wrong term or the reverse relation. Remember: Tangent and normal. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Application of Derivatives · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Increasing/decreasing”, what mistake could they make while solving a question from Application of Derivatives?
Answer
They would use the wrong term or the reverse relation. Remember: Increasing/decreasing. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Application of Derivatives · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “First and second derivative tests”, what mistake could they make while solving a question from Application of Derivatives?
Answer
They would use the wrong term or the reverse relation. Remember: First and second derivative tests. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Application of Derivatives · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Word problems: box, wire, medicine”, what mistake could they make while solving a question from Application of Derivatives?
Answer
They would use the wrong term or the reverse relation. Remember: Word problems: box, wire, medicine. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Application of Derivatives · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Integrals”, what mistake could they make while solving a question from Integrals?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Integrals. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “Anti-derivative”, what mistake could they make while solving a question from Integrals?
Answer
They would use the wrong term or the reverse relation. Remember: Anti-derivative. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Substitution, parts, partial fractions”, what mistake could they make while solving a question from Integrals?
Answer
They would use the wrong term or the reverse relation. Remember: Substitution, parts, partial fractions. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Definite integral as limit of sum”, what mistake could they make while solving a question from Integrals?
Answer
They would use the wrong term or the reverse relation. Remember: Definite integral as limit of sum. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Properties of definite integrals”, what mistake could they make while solving a question from Integrals?
Answer
They would use the wrong term or the reverse relation. Remember: Properties of definite integrals. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “FTC”, what mistake could they make while solving a question from Integrals?
Answer
They would use the wrong term or the reverse relation. Remember: FTC. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q91HOTS3 marksModerate
HOTS: If someone ignored the idea “Mix MCQs with short answers so you remember both facts and explanations from Application of Integrals”, what mistake could they make while solving a question from Application of Integrals?
Answer
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Application of Integrals. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Application of Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q92HOTS3 marksModerate
HOTS: If someone ignored the idea “Area = ∫ y dx”, what mistake could they make while solving a question from Application of Integrals?
Answer
They would use the wrong term or the reverse relation. Remember: Area = ∫ y dx. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Application of Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q93HOTS3 marksDifficultRevision pick
HOTS: If someone ignored the idea “Area between curves”, what mistake could they make while solving a question from Application of Integrals?
Answer
They would use the wrong term or the reverse relation. Remember: Area between curves. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Application of Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q94HOTS3 marksModerate
HOTS: If someone ignored the idea “Vertical vs horizontal strips”, what mistake could they make while solving a question from Application of Integrals?
Answer
They would use the wrong term or the reverse relation. Remember: Vertical vs horizontal strips. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Application of Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q95HOTS3 marksModerate
HOTS: If someone ignored the idea “Standard curves: line, circle, parabola, ellipse”, what mistake could they make while solving a question from Application of Integrals?
Answer
They would use the wrong term or the reverse relation. Remember: Standard curves: line, circle, parabola, ellipse. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
Meta
Class: Class 12 · Subject: Mathematics · Chapter: Application of Integrals · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Q96HOTS3 marksDifficult
HOTS: If someone ignored the idea “Sketch first”, what mistake could they make while solving a question from Application of Integrals?
Answer
They would use the wrong term or the reverse relation. Remember: Sketch first. Always check the NCERT definition before jumping to a formula or a long explanation.
Explanation
HOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
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 “HOTS 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.
