MHT CET · Maths · Pair of Lines
If sum of the slopes of lines represented by \(x^2-2 x y \tan \theta-y^2=0\) is 4 , then \(\theta=\)
- A \(\tan ^{-1}(-1)\)
- B \(\tan ^{-1}(1)\)
- C \(\tan ^{1}(2)\)
- D \(\tan ^{-1}(-2)\)
Answer & Solution
Correct Answer
(D) \(\tan ^{-1}(-2)\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & m_1+m_2=\frac{-2 h}{b} \\ & \Rightarrow 4=\frac{2 \tan \theta}{-1} \\ & \Rightarrow \tan \theta=-2 \\ & \Rightarrow \theta=\tan ^{-1}(-2)\end{aligned}\)
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