The length of the latus rectum of the parabola which has focus at (-1,1) and the directrix is $4 \mathrm{x}$…

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
  1. 4
  2. 6
  3. 8
  4. 10

Solution

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

Asked in: BITSAT 2020

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