If the focus of a parabola is ( 0 , − 3 ) and its directrix is y = 3 , then it equation is

Question

If the focus of a parabola is ( 0 , − 3 ) and its directrix is y = 3 , then it equation is, x 2 = 12 y, y 2 = − 12 x, y 2 = 12 x, x 2 = − 12 y

MARKS App · Accepted Answer

This is of the form of x 2 = − 4 a y Here, S ≡ ( 0 , − a ) ≡ ( 0 , − 3 ) Thus, a = 3 ∴ Equation of parabola is x 2 = − 4 × 3 y ⇒ x 2 = − 12 y