AP EAMCET · Maths · Pair of Lines
The length of \(x\)-intercept made by pair of lines \(2 x^2+x y-6 y^2-2 x+17 y-12=0\) is
- A 2
- B 10
- C 5
- D 20
Answer & Solution
Correct Answer
(C) 5
Step-by-step Solution
Detailed explanation
\(2 x^2+x y-6 y^2-2 x+17 y-12=0\) Comparing with \(\begin{aligned} & a x^2+2 h x y+b y^2+2 g x+2 f y+c=0 \\ & \Rightarrow a=2, g=-1, c=-12 \end{aligned}\) Length of \(x\)-intercept \(=\frac{2 \sqrt{g^2-a c}}{a}=\frac{2 \sqrt{1-2(-12)}}{2}=5 .\)
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