Two distinct chords drawn from the point on the circle

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Two distinct chords drawn from the point

(p, q)

on the circle

x^2 + y^2 = px + qy

, where

pq \neq 0

, are bisected by the X-axis. Then, (1)

|p|=|q|

(2)

p^2 = 8q^2

(3)

p^2 < 8q^2

(4)

p^2 > 8q^2