Pair Of Straight Lines Question 93

Question: Condition that the two lines represented by the equation $ ax^{2}+2hxy+by^{2}=0 $ to be perpendicular is

[Kurukshetra CEE 1998; MP PET 2001]

Options:

A) $ ab=-1 $

B) $ a=-b $

C) $ a=b $

D) $ ab=1 $

Show Answer

Answer:

Correct Answer: B

Solution:

Coefficient of $ x^{2}+ $ coefficient of $ y^{2}=0 $

$ \Rightarrow a+b=0\Rightarrow a=-b $ .