Conic Sections Question 17

Question: Latus rectum of the parabola $ y^{2}-4y-2x-8=0 $ is

Options:

A) 2

B) 4

C) 8

D) 1

Show Answer

Answer:

Correct Answer: A

Solution:

Given equation, $ y^{2}-4y-2x-8=0 $

therefore $ {{(y-2)}^{2}}=2(x+6) $

$ \therefore $ Length of latus rectum = 2.