AP EAMCET · Maths · Pair of Lines
The combined equation of the bisectors of the angles between the lines joining the origin to the points of intersection of the curve \(x^2+y^2+x y+x+3 y+1=0\) and the line \(x+y+2=0\) is
- A \(x^2+4 x y-y^2=0\)
- B \(x^2-4 x y-y^2=0\)
- C \(x^2-3 x y+y^2=0\)
- D \(x^2+2 x y-3 y^2=0\)
Answer & Solution
Correct Answer
(A) \(x^2+4 x y-y^2=0\)
Step-by-step Solution
Detailed explanation
Given equation: \(x^2+y^2+x y+x+3 y+1=0\) ...(i) and \(x+y+2=0 \Rightarrow \frac{x+y}{-2}=1\) ...(ii) Homogenizing (i) with (ii)…
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