AP EAMCET · Maths · Pair of Lines
The pair of lines joining the origin to the points of intersection of the line \(x-y=2\) with the curve \(5 x^2+12 x y-8 y^2+8 x-4 y+12=0\) are equally inclined to the pair of lines
- A \(x^2-x y=0\)
- B \(x y=0\)
- C \((x-2)(y-2)=0\)
- D \(x y-y^2=4\)
Answer & Solution
Correct Answer
(B) \(x y=0\)
Step-by-step Solution
Detailed explanation
The homogeneous equation of the pair of lines joining the origin to the points of intersection is: \(5 x^2+12 x y-8 y^2+ (8 x-4 y)\left(\frac{x-y}{2}\right) + 12\left(\frac{x-y}{2}\right)^2=0\) \(5 x^2+12 x y-8 y^2+ (4x-2y)(x-y) + 3(x-y)^2=0\)…
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