If the parabola y2=4ax passes through (-3,2), then length of its latus rectum

Question -

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

Options:

A .

\frac{2}{3}

B .

\frac{1}{3}

C .

\frac{4}{3}

D . 4

Answer: Option C
:
C

The point (-3,2) will satisfy the equation $y^{2} = 4 a x$

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

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