The transformed equation of $x^2+y^2=r^2$ when the axes are rotated through an angle $36^{\circ}$ is

  • A
    $X^2+Y^2=r^2$
  • B
    $X^2+2XY-\sqrt{5}Y^2=r^2$
  • C
    $X^2-Y^2=r^2$
  • D
    $X^2+Y^2=2r^2$

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