Question

From (3, 4) chords are drawn to the circle x² + y² – 4x = 0. The locus of the mid points of the chords is: 

(A) x² + y² – 5x – 4y + 6 = 0 

(B) x² + y² + 5x – 4y + 6 = 0 

(C) x² + y² – 5x + 4y + 6 = 0 

(D) x² + y² – 5x – 4y – 6 = 0

Answer 1

Correct option (A) x² + y² – 5x – 4y + 6 = 0

Explanation:

 From (3, 4) chords are drawn to x² + y² – 4x = 0

Let mid points of chord be (b, h)