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BITSAT 2020
Exam
BITSAT
Year
2020
Subject
Mathematics
Chapter
Parabola

BITSAT 2020 · Mathematics · Parabola

The length of the latus rectum of the parabola which has focus at...

The length of the latus rectum of the parabola which has focus at (-1,1) and the directrix is 4x+3y−24=04 \mathrm{x}+3 y-24=0 is

Options

  1. A4
  2. B6
  3. C8
  4. D10

Correct answer

D. 10

Step-by-step solution

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