Let a circle C touch the lines | Circle

JEE MAIN 2022

25-6-2022 S1

Question

Let a circle C touch the lines $L_1: 4 x-3 y+K_1=0$ and $L_2: 4 x-3 y+K_2=0, K_1, K_2 \in R$. If a line passing through the centre of the circle $C$ intersects $L_1$ at $(-1,2)$ and $L_2$ at $(3,-6)$, then the equation of the circle $C$ is

Select the correct option:

$(x-1)^2+(y-2)^2=4$

$(x+1)^2+(y-2)^2=4$

$(x-1)^2+(y+2)^2=16$

$(x-1)^2+(y-2)^2=16$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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