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The sides of the rectangle of greatest a...

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

A

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

B

`8sqrt(2),4sqrt(2)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-ELLIPSE-EXERCISE-II
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  2. If tan theta(1) tan theta(2) =-(a^(2))/(b^(2)) then the chord join...

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  3. The tangent at 'p' on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 cu...

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  4. P(theta) and D(theta+(pi)/(2)) are the points on the ellipse with c...

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  5. The area of the parallelogram formed by the tangents at the points who...

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  6. The area of the parallelogram formed by the tangents at the points who...

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  7. If PSQ is a focal chord then match the ellipse with the value of (1)/...

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  8. A man running round a race course note that the sum of the distances o...

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  9. The locus of point of intersection of lines (xt)/(a)-(y)/(b)+t=0 and (...

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  10. A line of fixed length a + b moves so that its ends are always on two ...

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  11. Tangents to the ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 make angles theta(...

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  12. Locus of the point of intersection of the tangents at the points with ...

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  13. The locus of the mid point of the portion of a tangent to the ellipse...

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  14. The locus of mid points of the chords of the ellipse (x^(2))/(a^(2))+...

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  15. If S and S'' are the foci of the ellipse (x^(2))/(25) + (y^(2))/(16) =...

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  16. The maximum number of normals that can be drawn from any point to an e...

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  17. The curve represented by x=2 (cos t +sin t ) , y=5 (cos t -sin t ) is

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  18. The sides of the rectangle of greatest area that can be inscribed in t...

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  19. If tangents are drawn from any point on the circle x^(2)+y^(2)=25 to t...

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  20. An ellipse passing through (4sqrt2, 2 sqrt 6) foci at (-4,0) and (4,0)...

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