Let a circle be given by 2x(x-a) + y(2y-b) = 0 (a 0

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Let a circle be given by

2x(x-a) + y(2y-b) = 0 \quad (a \neq 0, b \neq 0).

Find the condition on

a

and

b

if two chords, each bisected by the X-axis, can be drawn to the circle from

(a, b/2)