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

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Solution

The correct option is C
The point (-3, 2) will satisfy the equation $y^{2} = 4 a x$
$\Rightarrow 4 = - 12 a \Rightarrow 4 a = - \frac{4}{3}$
Length of latus rectum = |4a| = $\frac{4}{3}$

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

y^{2} = 4 a x

(3, 2)

y^{2} = 4 a x

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