TS EAMCET · Maths · Pair of Lines
The value of \(\lambda\) with \(|\lambda| < 16\) such that \(2 x^2-10 x y+12 y^2+5 x+\lambda y-3=0\) represents a pair of straight lines, is
- A -10
- B -9
- C 10
- D 9
Answer & Solution
Correct Answer
(B) -9
Step-by-step Solution
Detailed explanation
Given equation is \(2 x^2-10 x y+12 y^2+5 x+\lambda y-3=0\) Here, \(a=2, h=-5, b=12, g=\frac{5}{2}, f=\frac{\lambda}{2}, c=-3\) For pair of lines \(\left|\begin{array}{lll}a & h & g \\ h & b & f \\ g & f & c\end{array}\right|=0\)…
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