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KVPY2011MathematicsStraight Lines

All the points (x, y) in the plane satisfying the equation x²+2 x (x y)+1=0 lie on -

Options

  1. Aa pair of straight lines
  2. Ba family of hyperbolas
  3. Ca parabola
  4. Dan ellipse

Correct answer

A. a pair of straight lines

Step-by-step solution

x²+2 x (x y)+1=02 (x y)=- (x+ 1 x ) array l (-y)=1 y=-1 y=-1 y=2 n - 2 , n I array Hence pair of straight lines.

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