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} intersects {\L}_1 at (-1,2) and {\L}_2 at (3,-6), then the equation of the circle {\C} is : [25-Jun-2022-Shift-1]

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 ∈ 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 :  [25-Jun-2022-Shift-1]

Examsnet · Accepted Answer

Correct Answer is :  (x−1)2+(y+2)2=16

JEE Main 25 June 2022 Shift 1 Solved Paper