A rectangular hyperbola of latus rectum $2$ units passes through $(0, 0)$ and has $(1, 0)$ as its one focus. The other focus lies on the curve -

  • A

    $4x^2 + y^2 = 1$

  • B

    $x^2 + y^2 = 9$

  • C

    $x^2 -y^2 = 1$

  • D

    $4x^2 -y^2 = 1$

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