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The length of the latus rectum of the el...

The length of the latus rectum of the ellipse
`49 x^(2)+64 y^(2)=3136`

A

` (49)/(64)`

B

`(64)/(3136)`

C

` (49)/(4)`

D

none of these

Text Solution

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The correct Answer is:
C
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. If e is the eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)...

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  2. The eccentricity of the ellipse 9x^(2) + 25y^(2) = 225 is

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  3. The length of the latus rectum of the ellipse 49 x^(2)+64 y^(2)=3136

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  4. The P is any point on the ellipse 4 x^(2)+16 y^(2)=64 whose foci are S...

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  5. The product of the perpendiculars from the foci on any tangent to the ...

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  6. Length of the latus rectum of the ellipse (x^(2))/(25)+(y^(2))/(9)=1 ...

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  7. The equation of the ellipse whose one focus is at (4,0) and whose ecce...

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  8. The centre of the ellipse 9 x^(2)+5 y^(2)-36 x-50 y+116=0 is

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  9. If y=x+c is a tangent to the ellipse 9 x^(2)+16 y^(2)=144, thenc=

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

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  11. Eccentricity of the ellipse 25 x^(2)+9 y^(2)-150 x-90 y+225=0

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  12. An ellipse with eccentricity e=(1)/(2) has a focus at (0,0) and the co...

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  13. An ellipse has a minor axis of Iength 6 and the distance between its f...

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  14. In an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 if the distance betwee...

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  15. The angle between the lines joining the foci of an ellipse to an extre...

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  16. The ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 cuts the x -axis at A an...

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  17. The locus of the point of intersection of two perpendicular tangents t...

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  18. An ellipse has its centre (1,-1) and semi major axis is 8, which passe...

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  19. The distance between the foci is 6, e=(1)/(2), the length of the major...

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  20. Equation of the tangent and the normal drawn at the point (6,0) on the...

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