Question

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

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

Answer 1

The correct option is C

$\frac{4}{3}$

The point (-3,2) will satisfy the equation $y^2=4ax$

$\Rightarrow$ 4 = -12a $\Rightarrow 4a=-\frac{4}{3}=\frac{4}{3},$ (Taking positive sign).