AP EAMCET · Maths · Pair of Lines
If \(2 x^2+3 x y-2 y^2-5 x+2\) fy \(-3=0\) represents a pair of straight lines, then one of the possible values of \(f\) is
- A \(-\frac{25}{2}\)
- B \(25\)
- C \(-5\)
- D \(\frac{5}{2}\)
Answer & Solution
Correct Answer
(D) \(\frac{5}{2}\)
Step-by-step Solution
Detailed explanation
\( a=2, h=\frac{3}{2}, b=-2, g=-\frac{5}{2}, f, c=-3 \) Condition: \( abc + 2fgh - af^2 - bg^2 - ch^2 = 0 \) \( (2)(-2)(-3) + 2(f)(-\frac{5}{2})(\frac{3}{2}) - (2)(f)^2 - (-2)(-\frac{5}{2})^2 - (-3)(\frac{3}{2})^2 = 0 \)…
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