Hyperbola JEE Main PYQs, 2020 to 2025

Hyperbola has 33 questions in JEE Main papers from 2020 to 2025, about 5.5 per year across all shifts. The most asked topic is Standard Equation (18 questions), followed by Tangent and Normal (15).

Updated 26 Sep 2026

Download free PDF (33 questions + answer key, 0.2 MB) Practise online, free, no login

33Total PYQs

6Years covered

2Topics

2025 Apr S2Latest paper

Hyperbola questions per year

Year	Questions
2025	4
2024	5
2023	5
2022	11
2021	3
2020	5

Topic-wise weightage

Topic	Questions	Share of chapter	Last asked
Standard Equation	18	55%	2025
Tangent and Normal	15	45%	2023

Sample questions from recent papers

JEE Main 2025 · 7 Apr · Shift 2 · Standard Equation

Let the lengths of the transverse and conjugate axes of a hyperbola in standard form be

2 a

and

2 b

, respectively, and one focus and the corresponding directrix of this hyperbola be

(-5,0)

and

5 x+9=0

, respectively. If the product of the focal distances of a point

(\alpha, 2 \sqrt{5})

on the hyperbola is

p

, then

4 p

is equal to ___________.

Answer: 189

Step-by-step solution

JEE Main 2023 · 13 Apr · Shift 2 · Tangent and Normal

The foci of a hyperbola are $( \pm 2,0)$ and its eccentricity is $\frac{3}{2}$ . A tangent, perpendicular to the line $2 x+3 y=6$ , is drawn at a point in the first quadrant on the hyperbola. If the intercepts made by the tangent on the $\mathrm{x}$ - and $\mathrm{y}$ -axes are $\mathrm{a}$ and $\mathrm{b}$ respectively, then $|6 a|+|5 b|$ is equal to __________

Answer: 12

Step-by-step solution

All 33 questions are in the free PDF above, grouped by topic.

Frequently asked

How many questions come from Hyperbola in JEE Main?

33 questions from 2020 to 2025, about 5.5 per year. In 2025 it had 4.

Which Hyperbola topics are most important for JEE Main?

By past papers: Standard Equation (55%) and Tangent and Normal (45%) of all Hyperbola questions.

Is the Hyperbola PYQ PDF free?

Yes. The PDF, the answer key and every step-by-step solution on PrepWiser are free, with no login needed to practise.

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JEE Main PYQs by year: 2025 · 2024 · 2023 · 2022 · 2021 · 2020

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