AP EAMCET · Maths · Pair of Lines
The square of the differences of the slopes of the lines represented by the equation
\[
x^2\left(\sec ^2 \theta-\sin ^2 \theta\right)-2 x y \tan \theta+y^2 \sin ^2 \theta=0 \text { is }
\]
- A 1
- B 2
- C 4
- D 8
Answer & Solution
Correct Answer
(C) 4
Step-by-step Solution
Detailed explanation
\(A = \sec^2\theta - \sin^2\theta, B = \sin^2\theta, H = -\tan\theta\) \(m_1 + m_2 = -\frac{2H}{B} = -\frac{-2\tan\theta}{\sin^2\theta} = \frac{2\sin\theta/\cos\theta}{\sin^2\theta} = \frac{2}{\sin\theta\cos\theta}\)…
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