Focus and directrix of the parabola (x ^ { 2 } = - 8 a y) a... | MATH - PARABOLA | SolveeIt

Focus and directrix of the parabola $x ^ { 2 } = - 8 a y$ are

$( 0 , - 2 a )$ and $y = 2 a$

$( 0,2 a )$ and $y = - 2 a$

$x = - 2 a$

$( - 2 a , 0 )$ and $x = 2 a$

Answer

$( 0 , - 2 a )$ and $y = 2 a$

Explanation

Given equation is $x ^ { 2 } = - 8 a y$

Comparing the given equation with $A = 2 a$

Focus of parabola (0,–A) i.e. (0, –2a)

Directrix $y = 2 a$

Question: Focus and directrix of the parabola \(x ^ { 2 } = - 8 a y\) are...