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BITSAT2023MathematicsCircleActual

A circle touches both the y -axis and the line x+y=0 . Then the locus of its center is

Options

  1. Ay= 2 x
  2. Bx= 2 y
  3. Cy^2-x^2=2 x y
  4. Dx^2-y^2=2 x y

Correct answer

D. x^2-y^2=2 x y

Step-by-step solution

Let (h, k) is centre of circle | h-k 2 |=|h|, k^2-h^2+2 h k=0

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