Conic Sections Question 26

Question: The vertex of the parabola $ x^{2}+8x+12y+4=0 $ is

[DCE 1999]

Options:

A) (-4, 1)

B) (4, -1)

C) (-4, -1)

D) (4, 1)

Show Answer

Answer:

Correct Answer: A

Solution:

Given parabola is $ x^{2}+8x+12y+4=0 $

It can be written as $ {{(x+4)}^{2}}=-12y+12 $

$ \Rightarrow {{(x+4)}^{2}}=-12(y-1) $ ,vertex is $ (-4,1). $