Search any question & find its solution
Question:
Answered & Verified by Expert
The lines represented by $a x^{2}+2 h x y+b y^{2}=0$ are perpendicular to each other if
Options:
Solution:
1934 Upvotes
Verified Answer
The correct answer is:
$a+b=0$
We know that the angle between the two lines
$a x^{2}+2 h x y+b y^{2}=0$ is given by
$\tan \theta=\left|\frac{2 \sqrt{h^{2}-a b}}{a+b}\right|$
$\begin{aligned} \because & \theta &=90^{\circ} \\ & \therefore & a+b &=0 \end{aligned}$
$a x^{2}+2 h x y+b y^{2}=0$ is given by
$\tan \theta=\left|\frac{2 \sqrt{h^{2}-a b}}{a+b}\right|$
$\begin{aligned} \because & \theta &=90^{\circ} \\ & \therefore & a+b &=0 \end{aligned}$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.