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The equation of the ellipse having verti...

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

A

`(x^(2))/(25)+(y^(2))/(16)=1`

B

`9 x^(2)+25 y^(2)=225`

C

`(x^(2))/(9)+(y^(2))/(25)=1`

D

`4 x^(2)+5 y^(2)=20`

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. Equation of the ellipse whose axes are the axes of co-ordinates and wh...

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  2. The foci of the ellipse 25(x+1)^(2)+9(y+2)^(2)=225 are at

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  3. The eccentricity of the ellipse 9 x^(2)+5 y^(2)-30 y=0 is

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  4. The eccentricity of an ellipse with centre at the origin which meets t...

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  5. The equation to the ellipse (referred to its axes as the axes of x and...

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  6. P is any point on the ellipse 9x^(2) + 36y^(2) = 324 whose foci are S ...

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  7. The line L x+m y+n=0 is a normal to the ellipse (x^(2))/(a^(2))+(y^(2)...

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

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  9. How many real tangents can be drawn to the ellipse 5 x^(2)+9 y^(2)=32 ...

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  10. If two tangents drawn to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1...

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  11. The foci of the conic 25 x^(2)+16 y^(2)-150 x=175 are

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  12. The equation of the ellipse whose distance between the foci is equal t...

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  13. The eccentricity of the ellipse x^(2)+4 y^(2)+8 y-2 x+1=0 Is

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  14. The eccentricity of the conic 4 x^(2)+16 y^(2)-24 x-32 y=12 is

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  15. The radius of the circle passing through the foci of the ellipse (x^(2...

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

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  17. If theta is a parameter then x=a(sin theta+cos theta) y=b(sin theta-co...

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

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

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  20. The product of the perpendiculars drawn from the two foci of an ellips...

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