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AP EAMCET · Maths · Pair of Lines

The equation of the bisectors of the angles between the lines joining the origin to the points of intersection of the curve \(x^2+x y+y^2+x+3 y+1=0\) and the line \(x+y+2=0\) is

  1. A \(x^2+4 x y-y^2=0\)
  2. B \(2 x^2+5 x y-y^2=0\)
  3. C \(x^2+6 x y-2 y^2=0\)
  4. D \(2 x^2-4 x y+2 y^2=0\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(x^2+4 x y-y^2=0\)

Step-by-step Solution

Detailed explanation

Homogenise the equation of the given equation of curve To get the equation of the lines joining the origin to points of intersection of curve (i) and line (ii).…