Q64 / 125 · BITSAT 2020 · Mathematics

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

A
4
B
6
C
8
Correct answer
D
10

Solution

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

Hence, the correct answer is option: 'D'.

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