Mathematics · 2022
JEE Main · 25 June 2022, Shift 1 · Q1
Let a circle C touch the lines L_1: 4 x-3 y+ K_1=0 and L_2: 4 x-3 y+ K_2=0, K_1, K_2 ∈ R. If a line passing through the centre of the circle C…
Let a circle C touch the lines $\displaystyle \mathrm{L}_1: 4 x-3 y+\mathrm{K}_1=0$ and $\displaystyle \mathrm{L}_2: 4 x-3 y+\mathrm{K}_2=0, \mathrm{~K}_1, \mathrm{~K}_2 \in \mathbf{R}$. If a line passing through the centre of the circle C intersects $\displaystyle \mathrm{L}_1$ at $\displaystyle (-1, 2)$ and $\displaystyle \mathrm{L}_2$ at $\displaystyle (3, -6)$, then the equation of the circle C is :
Official answer
(3)
$\displaystyle (x-1)^2+(y+2)^2=16$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.