Mathematics · JEE

Inverse functions Previous Year Questions for JEE

2+ syllabus-aligned questions available

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Goodmarks offers 2+ JEE-style PYQs for Inverse functions with detailed solutions. While official past papers rotate yearly, our bank covers the same concepts, difficulty, and question formats tested in JEE Mathematics.

Previous year questions are the fastest way to understand how Inverse functions is tested in JEE. Practise 2+ exam-pattern MCQs modelled on JEE Main and Advanced, with full solutions for every question.

Syllabus context

Part of Limit, Continuity and Differentiability in JEE Main Mathematics.

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Q1MathsUnit 7: Limit, Continuity and Differentiability

f(x)=x^{2}-x+5, x>\frac{1}{2},

and

g(x)

is its inverse function, then

g^{\prime}(7)

equals:

Q2MathsUnit 7: Limit, Continuity and Differentiability

The domain of

\mathbf{f}(\mathbf{x})=

\cot ^{-1}\left(\frac{\mathbf{x}}{\sqrt{\mathbf{x}^{2}-\left[\mathbf{x}^{2}\right]}}\right)

([.]

denotes the greatest integer function)

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Frequently asked questions

Why practise PYQs for Inverse functions?

PYQs reveal recurring concepts, common traps, and the difficulty level JEE expects. Solving them builds exam temperament and time management.

Does Goodmarks have actual JEE past papers?

Our bank includes exam-style MCQs aligned with JEE Main Mathematics syllabus for Inverse functions, covering the same topics as previous year papers.

How should I use PYQs for Limit, Continuity and Differentiability?

Solve timed sets, review every explanation, note weak subtopics, then revisit with focused practice on Goodmarks.

Are PYQ solutions step-by-step?

Yes. Every question includes the correct answer and a detailed explanation showing the reasoning.