AP EAMCET · Maths · Pair of Lines
The combined equation of the diagonals of the square formed by the two pairs of straight lines given by \(x y+4 x-3 y-12=0\) and \(x y-3 x+4 y-12=0\) is
- A \(x^2-2 x y+y^2+x-y=0\)
- B \(x^2+2 x y+y^2+x+y=0\)
- C \(x^2-y^2+x+y=0\)
- D \(x^2-y^2+x-y=0\)
Answer & Solution
Correct Answer
(D) \(x^2-y^2+x-y=0\)
Step-by-step Solution
Detailed explanation
(x y+4 x-3 y-12=0) ⇒ (x-3)(y+4)=0 (x y-3 x+4 y-12=0) ⇒ (x+4)(y-3)=0 Lines forming the square: \(x=3\), \(y=-4\), \(x=-4\), \(y=3\) Diagonal 1 (through (3, -4) and (-4, 3)):…
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