AP EAMCET · Maths · Pair of Lines
If the slope of one of the pair of lines represented by \(2 x^2+3 x y+K y^2=0\) is 2 , then the angle between the pair of lines is
- A \(\frac{\pi}{2}\)
- B \(\frac{\pi}{3}\)
- C \(\frac{\pi}{6}\)
- D \(\frac{\pi}{4}\)
Answer & Solution
Correct Answer
(A) \(\frac{\pi}{2}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & 2 x^2+3 x y+k y^2=0 \\ & \Rightarrow \frac{2}{k} x^2+\frac{3}{k} x y+y^2=0 ....(i) \end{aligned}\) Let slope of other line be \(m\) then two lines are \(y=2 x, y\)…
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