Minimum area of the triangle by any tangent to the ellipse $\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1$ with the coordinate axes is

  • [IIT 2005]
  • A

    $\frac{{{a^2} + {b^2}}}{2}$

  • B

    $\frac{{{{(a + b)}^2}}}{2}$

  • C

    $ab$

  • D

    $\frac{{{{(a - b)}^2}}}{2}$

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