Question

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

• A. 2y + 3 = 0
• B. 3y = 2
• C. 2y = 3
• D. 3y + 2 = 0

Answer 1

The correct option is C 2y = 3

Given equation can be rearranged as $(x+2{)}^2=-2(y-2)$
This is of the form $X^2=4AY$
Equation of latus rectum of this parabola is Y = A
Comparing this with the given parabola, we get the equation of latus rectum as
$y-2=-\frac{1}{2}\Rightarrow y=\frac{3}{2}$