Circle — JEE Main Previous Year Questions

104 solved PYQs · 2016–2026 · Mathematics

Solved PYQs: 104
Years covered: 2016–2026
Avg / year: ~9
Subject: Mathematics

How many JEE Main questions come from Circle?

Circle has contributed 104 questions to Joint Entrance Examination (Main) papers between 2016 and 2026 — an average of about 9 questions a year. That count is measured from EByAi’s bank of 55,289 JEE Main questions, not estimated from a syllabus. Every one of the 104 questions carries a written, step-by-step solution, and each is tagged to Circle within Mathematics, so you can drill this chapter across every year at once instead of hunting through paper PDFs. Practising a chapter’s full PYQ history is the fastest way to learn the patterns examiners reuse.

Sample Circle questions from real JEE Main papers

These are 5 real questions from the bank — exactly as asked, with the answer one tap away. All 104 Circle questions (with full written solutions) are available in practice.

Question 1 · JEE Main 2021
If the locus of the mid-point of the line segment from the point (3, 2) to a point on the circle, x 2 + y 2 = 1 is a circle of radius r, then r is equal to :
1. (A) $\frac{1}{4}$
2. (B) $\frac{1}{2}$
3. (C) $1$
4. (D) $\frac{1}{3}$
Show answerAnswer
$Answer: (B) \frac{1}{2}$
Question 2 · JEE Main 2021
Let A(1, 4) and B(1, -5) be two points. Let P be a point on the circle (x - 1)^2 + (y - 1)^2 = 1 such that (PA)^2 + (PB)^2 have maximum value, then the points, P, A and B lie on :
1. (A) $a straight line$
2. (B) $an ellipse$
3. (C) $a parabola$
4. (D) $a hyperbola$
Show answerAnswer
$Answer: (A) a straight line$
Question 3 · JEE Main 2021
A circle C touches the line x = 2y at the point (2, 1) and intersects the circle C_1 : x^2 + y^2 + 2y - 5 = 0 at two points P and Q such that PQ is a diameter of C_1. Then the diameter of C is:
1. (A) $75$
2. (B) $15$
3. (C) $285$
4. (D) $415$
Show answerAnswer
$Answer: (A) 75$
Question 4 · JEE Main 2018
If a circle C, whose radius is 3, touches externally the circle, x^2 + y^2 + 2x - 4y - 4 = 0 at the point (2, 2), then the length of the intercept cut by this circle C, on the x-axis is equal to :
1. (A) $25$
2. (B) $32$
3. (C) $5$
4. (D) $23$
Show answerAnswer
$Answer: (A) 25$
Question 5 · JEE Main 2017
A line drawn through the point P(4, 7) cuts the circle x^2 + y^2 = 9 at the points A and B. Then PA⋅PB is equal to :
1. (A) $53$
2. (B) $56$
3. (C) $74$
4. (D) $65$
Show answerAnswer
$Answer: (B) 56$

Circle questions by year

Year	Questions	Share of chapter questions
2026	15
2025	10
2024	20
2023	11
2022	13
2021	16
2020	4
2019	8
2018	1
2017	4
2016	2

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FAQs

How many JEE Main questions have been asked from Circle?

EByAi's bank holds 104 real JEE Main questions from Circle, asked between 2016 and 2026 — about 9 per year on average. Every count is measured from actual papers, not estimated.

Is Circle important for JEE Main?

104 questions over 11 papers make Circle a moderate-weightage chapter in JEE Main Mathematics. The year-wise table above shows exactly how often it appears.

Can I solve Circle PYQs online for free?

Yes. EByAi lets you solve JEE Main past-year questions in the browser with written solutions — free daily practice, no card needed.

More JEE Main Mathematics chapters

All JEE Main Mathematics chapters →JEE Main overview →