Conic Sections Question 520

Question: The equation of the latus rectum of the parabola $ x^{2}+4x+2y=0 $ is

[Pb. CET 2004]

Options:

A) $ 2y+3=0 $

B) $ 3y=2 $

C) $ 2y=3 $

D) $ 3y+2=0 $

Show Answer

Answer:

Correct Answer: C

Solution:

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

Equation of latus rectum is $ y-2=-\frac{1}{2} $

therefore $ y=\frac{3}{2} $ .