Conic Sections Question 50

Question: If $ x^{2}+6x+20y-51=0 $ , then axis of parabola is

[Orissa JEE 2004]

Options:

A) $ x+3=0 $

B) $ x-3=0 $

C) $ x=1 $

D) $ x+1=0 $

Show Answer

Answer:

Correct Answer: A

Solution:

Given equation of parabola is $ x^{2}+6x+20y-51=0 $

$ \Rightarrow $ $ x^{2}+6x=-20y+51 $

$ \Rightarrow $ $ {{(x+3)}^{2}}=-20y+60\Rightarrow {{(x+3)}^{2}}=-20(y-3) $

$ \Rightarrow $ $ {{(x+3)}^{2}}=-4.5(y-3) $

$ \therefore $ Axis of parabola is $ x+3=0 $ .