AP EAMCET · Maths · Pair of Lines
If \(a x^2+2 h x y-2 a y^2+3 x+15 y-9=0\) represents a pair of lines intersecting at \((1,1)\), then ah \(=\)
- A 14
- B -15
- C -7
- D 9
Answer & Solution
Correct Answer
(C) -7
Step-by-step Solution
Detailed explanation
\(A = a, H = h, B = -2a, G = 3/2, F = 15/2\) \(Ax + Hy + G = 0 \Rightarrow a(1) + h(1) + 3/2 = 0 \Rightarrow a + h = -3/2\) \(Hx + By + F = 0 \Rightarrow h(1) + (-2a)(1) + 15/2 = 0 \Rightarrow h - 2a = -15/2\) \((a+h) - (h-2a) = -3/2 - (-15/2)\)…
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