Mathematics · 2021
JEE Main · 26 August 2021, Shift 2 · Q71
A circle C touches the line x=2 y at the point (2,1) and intersects the circle C_1: x^2+y^2+2 y-5=0 at two points P and Q such that PQ is a diameter…
A circle C touches the line $\displaystyle x=2 y$ at the point $\displaystyle (2,1)$ and intersects the circle $\displaystyle \mathrm{C}_1: x^2+y^2+2 y-5=0$ at two points P and Q such that PQ is a diameter of $\displaystyle \mathrm{C}_1$. Then the diameter of $\displaystyle C$ is :
Official answer
(4)
$\displaystyle 7 \sqrt{5}$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.