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← JEE Advanced PYQ
Circles
JEE Advanced · Mathematics · 44 past questions
Topic
Circles and triangles
10
Two circles: common tangents, orthogonality and touching
8
Circles with parabola and ellipse
7
Comprehension, matching and statement-based circle questions
5
Line and circle: chords and intersections
4
Loci and coordinate geometry with circles
4
Equation of a circle and its properties
3
Tangents and normals to a circle
3
Level
Easy
1
Moderate
3
Tough
0
Year
2025
0
2024
0
2023
0
2022
0
2021
0
2020
1
2019
1
2018
0
2017
0
2016
0
2015
0
2014
0
2013
0
2012
0
2011
1
2010
1
2009
0
2008
0
2007
0
4 of 44 ·
show all
Q14
2020 Paper 2
Let $O$ be the centre of the circle $x^2 + y^2 = r^2$, where $r > \frac{\sqrt{5}}{2}$. Suppose $PQ$ is a…
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Q15
2019 Paper 1
A line $y=mx+1$ intersects the circle $(x-3)^2+(y+2)^2=25$ at the points $P$ and $Q$. If the midpoint of the…
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Q34
2011 Paper 2
The straight line $2x-3y=1$ divides the circular region $x^2+y^2\le6$ into two parts. If…
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Q35
2010 Paper 2
Two parallel chords of a circle of radius $2$ are at a distance $\sqrt{3}+1$ apart. If the chords subtend at…
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