Question

One of the lines given by the equation $a{x}^2+2hxy+b{y}^2=0$ will bisect the angle between the coordinate axes if

• A. $a+b=2h$
• B. $a+b=-2h$
• C. $a+b=0$
• D. $a-b=0$

Answer 1

Answer: (A), (B)

The correct options are
A $a+b=2h$
B $a+b=-2h$

Equation of bisector of coordinate axis is $y=x$ and $y=-x$
Solving $y=x$ with equation , we get
$a+b=-2h$
And solving $y=-x$ with equation, we get
$a+b=2h$