TS EAMCET · Maths · Pair of Lines
If the lines \(x^2+2 x y-35 y^2-4 x+44 y-12=0\) and \(5 x+\lambda y-8=0\) are concurrent, then the value of \(\lambda\) is
- A \(0\)
- B \(1\)
- C \(-1\)
- D \(2\)
Answer & Solution
Correct Answer
(D) \(2\)
Step-by-step Solution
Detailed explanation
Given line is \(x^2+2 x y-35 y^2-4 x+44 y-12=0\) Here, \(a=1, b=-35, c=-12, h=1, f=22\), \(g=-2\) \(\therefore\) Point of intersection is \(\left(\frac{h f-b g}{a b-h^2}, \frac{g h-a f}{a b-h^2}\right)\) \(=\left(\frac{22-70}{-35-1}, \frac{-2-22}{-35-1}\right)\)…
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