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

Question

If the parabola

y^{2} = 4 a x

passes through (-3,2), then length of its latus rectum is

Options:

A . 23

B . 13

C . 43

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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