Question

Let a circle C touch the lines L₁ : 4x – 3y + K₁ = 0 and L₂ : 4x – 3y + K₂ = 0, K₁ , K₂ \(\in\) R. If a line passing through the centre of the circle C intersects L₁ at (–1, 2) and L₂ at (3, – 6), then the equation of the circle C is 

(A) (x – 1)² + (y – 2)² = 4 

(B) (x + 1)² + (y – 2)² = 4 

(C) (x – 1)² + (y + 2)² = 16 

(D) (x – 1)² + (y – 2)² = 16

Answer 1

Correct option is (C) (x – 1)² + (y + 2)² = 16