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  4. If the parabola x2=4ay passes through the point (2, 1), then the length of the latus rectum is

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Q. If the parabola $x^2=4ay$ passes through the point $(2, 1)$, then the length of the latus rectum is

KCETKCET 2020

Solution:

$x^{2}=4 a y$
Given parabola passes through $(2,1)$.
$\Rightarrow 2^{2}=4 a$
$\Rightarrow a=1$
Length of latus rectum= $4 a=4$.