Question

A parabola with vertex at origin has its focus at the centre of x2 + y2 – 10x + 9 = 0 Find the direction its directrix and latus **.

Answer 1

The centre of the circle = (5,0).

The equation y2 = 20x ⇒ y2 = 4ax ⇒ a = 5

directrix is x = -5, LR = 20.