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Find the maximum area of an isosceles t...

Find the maximum area of an isosceles triangle inscribed in the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1`with its vertex at one end of the major axis.

A

`sqrt(3) ab`

B

`(3sqrt3)/(4) ab`

C

`(5sqrt3)/(4)`

D

none of these

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • Area of the greatest rectangle that can be inscribed in the ellipse x^2/a^2 + y^2/b^2 = 1 is

    A
    `sqrt(ab)`
    B
    `a//b`
    C
    `2ab`
    D
    `ab`

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