Question

Show that the circle on the chord xcosα + ysinα – p = 0 of the circle x2 + y2 = a2 as diameter is x2 + y2 – a2 – 2p (xcosα + y sin α – p) = 0.

Answer 1

Equation of line

⇒ x cos x + y sin x – p = 0

Now family of circle passing through the intersection of the circle & line is