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The co-ordinates of a focus of an ellips...

The co-ordinates of a focus of an ellipse is (4,0) and its eccentricity is `(4)/(5)` Its equation is :

A

`(x^(2))/(3^(2))+(y^(2))/(5^(2))=1`

B

`(x^(2))/(5^(2))+(y^(2))/(3^(2))=1`

C

`(x^(2))/(5^(2))+(y^(2))/(4^(2))=1`

D

`(x^(2))/(4^(2))+(y^(2))/(5^(2))=1`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-ELLIPSE-Exercise
  1. The distance between the foci of the ellipse 5x^(2)+9y^(2)=45 is

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  2. the length of the latusrectum of the ellipse (x^(2))/(36)+(y^(2))/...

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  3. The co-ordinates of a focus of an ellipse is (4,0) and its eccentricit...

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  4. the equation of the ellipse passing through (2,1) having e=1/2...

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  5. If C is the centre of the ellipse 9x^(2) + 16y^(2) = 144 and S is one ...

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  6. In an ellipse the distance between the foci is 8 and the distance betw...

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  7. The centre of the ellipse 4x^(2) + 9y^(2) + 16x - 18y - 11 = 0 is

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

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  9. An ellipse is described by using an ellipse string which is passed ove...

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  10. Two perpendicular tangents drawn to the ellipse (x^2)/(25)+(y^2)/(16)=...

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  11. The distance of the point 'theta' on the ellipse x^(2)/a^(2) + y^(2)/b...

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  12. If y = mx + c is a tangent to the ellipse x^(2) + 2y^(2) = 6, them c^(...

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  13. Let P be a variable point on the ellipse x^(2)/25 + y^(2)/16 = 1 with ...

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  14. The ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and the straight line y=mx+c int...

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

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  16. Equation of the ellipse with accentricity 1/2 and foci at (pm 1, 0), i...

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  17. If B and B' are the ends of minor axis and S and S' are the foci of th...

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

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  19. If the normal at any point P on ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)...

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  20. If the curves x^(2) + 4y^(2) = 4, x^(2) + a^(2) y^(2) = a^(2) for suit...

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