Class 12 Mathematics Application of Derivatives HOTS Questions
HOTS Questions for Class 12 Mathematics Application of Derivatives. 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 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).
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.
How should I use the 100 questions?
Try the question first, then tap Show answer. Mix MCQs with long answers. Revise formulas and diagrams from the textbook alongside this set.
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.
