The length of the Latus rectum of the parabola x=a y2+b y+c is

Question

The length of the Latus rectum of the parabola x=a y2+b y+c is (A) (4 a/3) (B) (3/4) a (C) (1/2 a) (D) (1/a)

Tardigrade Admin · Accepted Answer

Given, x=a y2+b y+c ⇒ (y+(b/2 a))2=(1/a)(x+(b2-4 a c/4 a)) Latus rectum =(1/a)

Q. The length of the Latus rectum of the parabola $x = a y^{2} + b y + c$ is