AP EAMCET · Maths · Pair of Lines
Find the length of the intercept cut by the pair of lines \(2 x^2+4 x y-4 y^2-6 x-8 y+7=0\) over the \(Y\)-axis
- A \(\sqrt{12}\)
- B \(\sqrt{10}\)
- C \(\sqrt{11}\)
- D \(\sqrt{13}\)
Answer & Solution
Correct Answer
(C) \(\sqrt{11}\)
Step-by-step Solution
Detailed explanation
Given, pairs of straight line \(2 x^2+4 x y-4 y^2-6 x-8 y+7=0\) For length of intercept on \(Y\)-axis put \(x=0\) \(-4 y^2-8 y+7=0 \Rightarrow 4 y^2+8 y-7=0\) \(y=\frac{-8 \pm \sqrt{64+112}}{8}\) \(y=\frac{-8 \pm 4 \sqrt{11}}{8}\) Length of intercept…
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