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The muinimum area of the triangle formed...

The muinimum area of the triangle formed by the tangent to `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` and the coordinate axes is

A

ad sq units

B

`(a^(2)+b^(2))/2` sq units

C

`(a+b)^(2)/2` sq units

D

`(a^(2)+ab+b^(2))/3` sq units

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A
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Knowledge Check

  • The minimum area of triangle formed by the tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) =1 and coordinate axes is

    A
    ab
    B
    `(a^(2)+b^(2))/(2)`
    C
    `(a+b)^(2)/(2)`
    D
    `(a^(2)+ab+b^(2))/(3)`

  • The minimum area of the triangle formed by the tangent to the ellipse (x^(2))/(16) + (y^(2))/(9) =1 and the co-ordinate axes is

    A
    16
    B
    9
    C
    12
    D
    144

  • The minimum area (sq. units) of triangle formed by the tangent to the x^(2)/a^(2) + y^(2)/b^(2) =1 and coordinate axes is:

    A
    ab
    B
    `(a^(2)+ b^(2))/2`
    C
    `(a^(2) + b^(2))/2`
    D
    `(a^(2) + ab + b^(2))/3`

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