Correct option: (d) p2 > 8q2
Explanation:
In solving a line and a circle there often generate a quadratic equation and further we have to apply condition of Discriminant so quation convert from coordinate to quadratic equation.
From equation of circle it is clear that circle passes through origin. Let AB is chord of the circle.
A ≡ (p, q). C is mid point and coordinate of C is (h, 0).
Then coordinate of B are (-p + 2h, -q) and B lies on the circle
x2 + y2 = px + qy, we have
There are given two distinct chords which are bisected at x-axis then, there will be two distinct values of h satisfying Eq. (i).
So, discriminant of this quadratic equation must be > 0.