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  4. The length of the latus rectum of the parabola which has focus at (-1,1) and the directrix is 4 x+3 y-24=0 is

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Q. The length of the latus rectum of the parabola which has focus at $(-1,1)$ and the directrix is $4 x+3 y-24=0$ is

BITSATBITSAT 2020

Solution:

Length of latus rectum $=2 \times$ distance of focus from directrix
$=2 \times \frac{1-4+3-24}{5}=10$