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AP EAMCET2016MathematicsPair of Lines

The equation of the pair of lines joining the origin to the points of intersection of x^2+y^2=9 and x+y=3 , is

Options

  1. Ax^2+(3-y)^2=9
  2. B(3+y)^2+y^2=9
  3. Cx^2 - y^2 = 9
  4. Dxy = 0

Correct answer

D. xy = 0

Step-by-step solution

Given, x^2+y^2=9 and x+y=3 Equation of pair of lines. aligned & x^2+y^2=9 ( x+y 3 )^2 & x^2+y^2=(x+y)^2 aligned aligned & x^2+y^2=x^2+y^2+2 x y & x y=0 aligned

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