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Find the area of the greatest rectangle ...

Find the area of the greatest rectangle that can be inscribed in an ellipse `x^2/a^2+y^2/b^2=1`

A

`sqrt(ab)`

B

`a//b`

C

`2ab`

D

`pi ab `

Text Solution

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The correct Answer is:
A
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
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  4. An arc of a bridge is semi-elliptical with the major axis horizonta...

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  6. If the foci and vetrices of an ellipse be (pm 1,0) and (pm 2,0), then ...

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  7. The equation of the directrice of the ellipse 16x ^(2) + 25 y ^(2)= 40...

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  8. The latus rectum of an ellipse is 10 and the minor axis Is equal to th...

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  9. Filnd the distance between the directrices the ellipse (x^2)/(36)+(...

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  10. The distnce between the foci of the ellipse 3x ^(2) + 4y ^(2) =48 is

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  11. Foci of an ellipse are (pm 5, 0) and one of its directrices is 5x =...

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  12. If the eccentricity of an ellipse be (1)/(sqrt2), then its latus rectu...

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  13. For each point (a,y) on an ellipse, the sum of the distances from (x,y...

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  14. If the centre, one of the foci and semi-major axis of an ellipse are (...

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  15. If one vertex of an ellipse is (0,7) and the corresponding directrix i...

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  16. Equation of ellipse having letus rectum 8 and eccentricity (1)/(sqrt(2...

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  17. Ellipse x^(2) + 4y^(2) = 4 is inscribed in a rectangle aligned with...

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  18. Equation (x^(2))/(r-2) + (y^(2))/(5-r) = 1 represents an ellipse if

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  19. The eccentricity of an ellipse with its centre at the origin is (1)/(2...

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  20. The distanve between the foci of an ellipse is 16 and eccentricity is ...

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