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The maximum area of an isosceles triangl...

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

A

`sqrt(3)ab`

B

`(3sqrt(3))/(4) ab`

C

`(5sqrt(3))/(4) ab`

D

`ab`

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Verified by Experts

The correct Answer is:
D
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NEW JOYTHI PUBLICATION-CONIC SECTIONS -EXERCISE - ELLIPSE
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  9. The radius of the circle passing throgh the foci of the ellipse (x^2)/...

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  10. The eccentricity of an ellipse with its centre at the origin is 1/2. I...

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  11. The maximum area of an isosceles triangle inscribed in the ellipse (x^...

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  12. The ellipse with foci at (0,1) , (0,4) and one vertex at the origin is

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  13. The euqaiton of the conic with focus (2,-1) directrix x - y = 0 and ec...

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  14. The foci of the ellipse 25(x + 1)^2 + 9(y + 2)^2 = 225

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  15. Find the vertices, foci for the hyperbola 9x^(2)-16y^(2)=144.

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  16. S and T are the foci of an ellipse and B is an end point of the minor ...

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