Pair Of Straight Lines Question 149

Question: One of the lines represented by the equation $ x^{2}+6xy=0 $ is

Options:

A) Parallel to x-axis

B) Parallel to y-axis

C) x-axis

D) y-axis

Show Answer

Answer:

Correct Answer: D

Solution:

$ x^{2}+6xy=0\Rightarrow x(x+6y)=0 $

$ \Rightarrow x=0 $ and $ x+6y=0 $ are two straight lines.

Hence, $ x=0 $ represents $ y- $ axis.