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  4. If vertex of a parabola is (2,-1) and the equation of its directrix is 4 x-3 y=21, then the length of its latus rectum is

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Q. If vertex of a parabola is $(2,-1)$ and the equation of its directrix is $4 x-3 y=21$, then the length of its latus rectum is

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Solution:

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$a=\frac{|8+3-21|}{5}=\frac{10}{5}=2$
$\therefore$ latus rectum $=4 a =8$