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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))`

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DIPTI PUBLICATION ( AP EAMET)-ELLIPSE-EXERCISE 1A
  1. A man running round a race course notes that the sum of the distances ...

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  2. P is a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1...

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

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  4. The equation x^(2)/(r-2)+y^(2)/(5-r)= 1 represents an ellipse if

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  5. Let E be the ellipse x^(2)//9+y^(2)//4=1 and C be the circle x^(2)+y^(...

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  6. The equation of the circle passing through the foci of the ellipse x^(...

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  7. The equation of the tangent to the ellipse 3x^(2)+2y^(2)=30 at (-2, 3)...

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  8. The equation of the normal to the ellipse x^(2)/4+y^(2)/1=1 at (2, -1)...

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  9. The equations of the tangents to the ellipse 3x^(2)+4y^(2)=12 which ar...

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  10. The equations of the tangents to the ellipse 4x^(2)+3y^(2)=5 which are...

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  11. The equations of the tangents to the ellipse 9x^(2)+16y^(2)=144 at the...

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  12. The equation of tangent to the ellipse 2x^(2)+3y^(2)=6 which make an a...

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  13. If x+ky-5=0 is a tangent to the ellipse 4x^(2)+9y^(2)=20 then k =

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  14. The values that m can take so that the straight line y=4x+m touches th...

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  15. The number of values of c such that the straight line y=4x+c touches ...

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  16. The point of contact 4x-5y+25=0 with the ellipse 9x^(2)+25y^(2)=225 is

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  17. Find the condition for the line x cos alpha+y sin alpha=p to be a tang...

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  18. The condition that the line x/p+y/q=1 to be a tangent to the ellipse x...

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  19. The line xcosalpha+ysinalpha=p is a tangent to the ellipse x^(2)//a^(2...

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  20. The number of tangents to (x^(2))/(25)+(y^(2))/(9)=1 through (1,1) is

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