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Show that a tangent to an ellipse whose ...

Show that a tangent to an ellipse whose tangent intercepted by the axes is the shortest, is divided at the point of tangency into two parts respectively, is equal to the semi-axes of the ellipse.

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Knowledge Check

  • The part of the tangent on the curve xy=c^2 included between the co-ordinate axes, is divided by the point of tangency in the ratio

    A
    `1:1`
    B
    `1:2`
    C
    `1:3`
    D
    None of these

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