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The sides of the rectangle of greatest a...

The sides of the rectangle of greatest area that can be inseribed in the ellipse `x^(2)+4 y^(2)=64` are

A

`6 sqrt(2), 4 sqrt(2)`

B

`8 sqrt(2) . 4 sqrt(2)`

C

`8 sqrt(2), 8 sqrt(2)`

D

`16 sqrt(2), 4 sqrt(2)`

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
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  2. The eccentricity of the conic 36 x^(2)+144 y^(2)-36 x-96 y-119=0 is

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  3. The sides of the rectangle of greatest area that can be inseribed in t...

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  4. Equation of latus recta of the ellipse 9 x^(2)+4 y^(2)-18 x-8 y-23=0...

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  5. On the ellipse 4 x^(2)+9 y^(2)=1, the point at which the tangent are p...

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  6. Equation of the circle passing through the intersection of ellipses (x...

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  7. If the foci of the ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and the hype...

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  8. The point (4,-3) with respect to the ellipse 4 x^(2)+5 y^(2)=1

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  9. Length of the axes of the conic 9 x^(2)+4 y^(2)-6 x+4y+1=0 are

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  10. If M(1) and M(2) are the feet of the perpendiculars from the foci S(1)...

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  11. The angle between the pair of tangents drawn from the point (1,2) to t...

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  12. The equation x^(2)+3 y^(2)-9 x+2 y+1=0 represents

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  13. The equation of the ellipse having vertices at (pm5,0) and foci (pm4,0...

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  14. The line x+y=a will be a tangent to the ellipse (x^(2))/(9)+(y^(2))/(1...

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  15. Equation of the ellipse with eccentricity (1)/(2) and foci at (pm1,0) ...

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  16. The equation (x^(2))/(2-lambda)+(y^(2))/(lambda-5)-1=0 represents an e...

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  17. The number of values oif c such that the line y=4x+c touches the curve...

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  18. The eccentric angle of the point (2,sqrt(3)) lying on (x^(2))/(16)+(y^...

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  19. If the focii of (x^(2))/(16)+(y^(2))/(4)=1 and (x^(2))/(a^(2))-(y^(2...

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  20. If the latus-rectum of the ellipse is half the minor axis, then its ec...

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