Circle

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE-Main 2023

Let $O$ be the origin and $O P$ and $O Q$ be the tangents to the circle $x^2+y^2-6 x+4 y+8=0$ at the point $P$ and...

JEE Main Mathematics Medium

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Q JEE MAIN 2023

Let the centre of a circle C be (α, β) and its radius r < 8. Let 3x + 4y = 24 and 3x –...

JEE Main Mathematics Medium

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Q JEE MAIN 2023

Let $A$ be the point $(1,2)$ and $B$ be any point on the curve $x^2+y^2=16$. If the centre of the locus of the point $P$,...

JEE Main Mathematics Medium

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Q JEE MAIN 2025

If the four distinct points $(4,6),(-1,5),(0,0)$ and $(k, 3 k)$ lie on a circle of radius $r$, then $10 k+r^2$ is

JEE Main Mathematics Easy

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Q JEE MAIN 2023

$$ \text { The number of common tangents, to the circles } x^2+y^2-18 x-15 y+131=0 \text { and } x^2+y^2-6 x-6 y-7=0 \text {, is...

JEE Main Mathematics Medium

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Q JEE MAIN 2023

Two circles in the first quadrant of radii $r_1$ and $r_2$ touch the coordinate axes. Each of them cuts off an intercept of 2 units...

JEE Main Chemistry Medium

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Q JEE MAIN 2023

Consider a circle $C_1: x^2+y^2-4 x-2 y=\alpha-5$. Let its mirror image in the line $y=2 x+1$ be another circle $...

JEE Main Mathematics Easy

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Q JEE-Main 2023

A circle passing through the point P($\alpha, \beta$) in the first quadrant touches the two coordinate axes at the points A and B. The point...

JEE Main Mathematics Hard

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Q JEE MAIN 2023

A line segment AB of length l moves such that the points A and B remain on the periphery of a circle of radius l....

JEE Main Mathematics Easy

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Q JEE MAIN

Let the centre of a circle, passing through the point (0,0),(1,0) and touching the circle $x^2+y^2$ =9, be (h,k). Then for all possible values of...

JEE Main Mathematics Medium

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