Q. The equation of the latusrectum of the parabola $x^{2} + 4x + 2y = 0$, is equal to
A) $2y + 3 = 0$
B) $3y = 2$
C) $2y = 3$
D) $3y + 2 = 0$
Explanation
(c)
Given equation can be rewritten as
$(x + 2)^{2} = - 2(y - 2)$
Equation of latusrectum is
$y - 2 = - \frac{1}{2}\ \ \Rightarrow \ \ y = \frac{3}{2}\ \Rightarrow \ 2y = 3$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.