JEE Advance - Mathematics (1999 - No. 14)
If two distinct chords, drawn from the point (p, q) on the circle $${x^2}\, + \,{y^2} = \,px\, + \,qy\,\,(\,where\,pq\, \ne \,0)$$ are bisected by the x - axis, then
$${p^2}\, = \,\,{q^2}$$
$$\,{p^2}\, = \,\,8\,{q^2}$$
$${p^2}\, < \,\,8\,{q^2}$$
$${p^2}\, > \,\,8\,{q^2}$$.