Pair Of Straight Lines Question 18

Question: The equations of the lines represented by the equation $ ax^{2}+(a+b)xy+by^{2}+x+y=0 $ are

Options:

A) $ ax+by+1=0 $ , $ x+y=0 $

B) $ ax+by-1=0 $ , $ x+y=0 $

C) $ ax+by+1=0 $ , $ x-y=0 $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

Equation $ ax^{2}+(a+b)xy+by^{2}+x+y=0 $ can be written as $ (ax+by+1)(x+y)=0 $ .