Mathematics · 2022
JEE Main · 27 June 2022, Shift 2 · Q29
Let a circle C of radius 5 lie below the x -axis. The line L_1: 4 x+3 y+2=0 passes through the centre P of the circle C and intersects the line L_2:…
Let a circle $\displaystyle C$ of radius $\displaystyle 5$ lie below the $\displaystyle x$-axis. The line $\displaystyle L_1: 4 x+3 y+2=0$ passes through the centre $\displaystyle P$ of the circle $\displaystyle C$ and intersects the line $\displaystyle L_2: 3 x-4 y-11=0$ at $\displaystyle Q$. The line $\displaystyle L_2$ touches $\displaystyle C$ at the point $\displaystyle Q$. Then the distance of $\displaystyle P$ from the line $\displaystyle 5 x-12 y+51=0$ is \_\_\_\_.
Official answer
11
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.