Pair Of Straight Lines Question 142

Question: The equation $ {{(x+y)}^{2}}-(x^{2}+y^{2})=0 $ represents

Options:

A) A circle

B) Two lines

C) Two parallel lines

D) Two mutually perpendicular lines

Show Answer

Answer:

Correct Answer: D

Solution:

Given equation $ 2xy=0\Rightarrow x=0 $ and $ y=0. $ Hence these are two mutually perpendicular lines (both axes).