Search any question & find its solution
Question:
Answered & Verified by Expert
If sum of the slopes of lines represented by $x^2-2 x y \tan \theta-y^2=0$ is 4 , then $\theta=$
Options:
Solution:
1697 Upvotes
Verified Answer
The correct answer is:
$\tan ^{-1}(-2)$
$\begin{aligned} & m_1+m_2=\frac{-2 h}{b} \\ & \Rightarrow 4=\frac{2 \tan \theta}{-1} \\ & \Rightarrow \tan \theta=-2 \\ & \Rightarrow \theta=\tan ^{-1}(-2)\end{aligned}$
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.