AP EAMCET · Maths · Pair of Lines
The angle between the lines represented by \(y^2 \sin ^2 \theta-x y \sin ^2 \theta+x^2\left(\cos ^2 \theta-1\right)=0\) is
- A \(\frac{\pi}{3}\)
- B \(\frac{\pi}{4}\)
- C \(\frac{\pi}{6}\)
- D \(\frac{\pi}{2}\)
Answer & Solution
Correct Answer
(D) \(\frac{\pi}{2}\)
Step-by-step Solution
Detailed explanation
Equation of lines is \[ x^2\left(\cos ^2 \theta-1\right)-x y \sin ^2 \theta+y^2 \sin ^2 \theta=0 \] This is a homogeneous equation of second degree, on comparing with \(a x^2+2 h x y+b y^2=0\)…
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