AP EAMCET · Maths · Pair of Lines
The value of \(\lambda\) such that \(\lambda x^2-10 x y+12 y^2+5 x-16 y-3=0\) represents a pair of straight lines, is
- A \(1\)
- B \(-1\)
- C \(2\)
- D \(-2\)
Answer & Solution
Correct Answer
(C) \(2\)
Step-by-step Solution
Detailed explanation
Given pair of lines is \[ \lambda x^2-10 x y+12 y^2+5 x-16 y-3=0 \] On comparing with \[ a x^2+2 h x y+b y^2+2 g x+2 f y+c=0 \] we get, \[ a=\lambda, h=-5, b=12, g=\frac{5}{2}, f=-8, c=-3 \] Condition for represents a pair of lines is…
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