Question

The length of the latus rectum of the parabola whose focus is $(3,3)$ and directrix is $3x-4y-2=0$ is

• A. $1$
• B. $2$
• C. $4$
• D. $8$

Answer 1

Answer: (B)

$2$

Length of the latus rectum $\left(l\right)=2($perpendicular distance from focus to directix$)$
$l=2\left|\frac{3\left(3\right)-4\left(3\right)-2}{\sqrt{3^2+4^2}}\right|=2$