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Circles
JEE Advanced · Mathematics · 44 past questions
Topic
Circles and triangles
7
Circles with parabola and ellipse
5
Two circles: common tangents, orthogonality and touching
5
Comprehension, matching and statement-based circle questions
3
Line and circle: chords and intersections
3
Loci and coordinate geometry with circles
3
Tangents and normals to a circle
2
Equation of a circle and its properties
1
Level
Easy
1
Moderate
5
Tough
1
Year
2025
1
2024
0
2023
0
2022
0
2021
2
2020
0
2019
0
2018
0
2017
0
2016
0
2015
1
2014
1
2013
0
2012
0
2011
0
2010
0
2009
0
2008
0
2007
0
5 of 44 ·
show all
Q1
2025 Paper 2
Let $P(x_1,y_1)$ and $Q(x_2,y_2)$ be two distinct points on the ellipse…
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Q10
2021 Paper 2
Consider the region $R = \{(x, y) \in \mathbb{R} \times \mathbb{R} : x \geq 0 \text{ and } y^2 \leq 4 - x\}$.…
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Q11
2021 Paper 2
Consider the region $R = \{(x, y) \in \mathbb{R} \times \mathbb{R} : x \geq 0 \text{ and } y^2 \leq 4 - x\}$.…
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Q25
2015 Paper 1
If the normals of the parabola $y^2=4x$ drawn at the end points of its latus rectum are tangents to the…
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Q27
2014 Paper 2
The common tangents to the circle $x^2+y^2=2$ and the parabola $y^2=8x$ touch the circle at the points $P, Q$…
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