- #1

AGNuke

Gold Member

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**Let a circle be given by 2x (x-a) + y(2y-b) = 0; (a≠0, b≠0).**

Find the condition on

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)**My attempt in this question is not quite relevant at this moment. I just found that (a,b/2) will lie on circle and the equation of chord being b(x-p) - 2y(a-p) = 0; where (p,0) is the midpoint of a chord.

Further than that, I have no idea what to do... :|