Question

If the parabola $y^2=4ax$ passes through $(3,2)$ then the length of latus rectum is

• A. $\frac{1}{3}$
• B. $\frac{2}{3}$
• C. $1$
• D. $\frac{4}{3}$

Answer 1

Answer: (D)

$\frac{4}{3}$

If the parabola $y^2=4ax$ passes through $(3,2)$
therefore, $4=4a\left(3\right)$
$\Rightarrow a=\frac{1}{3}$
Therefore, length of latus rectum: $l=4a=\frac{4}{3}$