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If the length of latus rectum is 5/2 and...

If the length of latus rectum is `5/2` and eccentricity is `1/2`, then the equation of the ellipse is

A

`(x^2)/9 + (y^2)/16 = 1`

B

`(9x^2)/(25) + (12y^2)/(25) = 1`

C

`(9x^2)/(25) + (4^2)/(25) = 1`

D

`(x^2)/(16) + (y^2)/9 = 1`

Text Solution

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The correct Answer is:
B
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NEW JOYTHI PUBLICATION-CONIC SECTIONS -EXERCISE - ELLIPSE
  1. The eccentricity of the ellipse 16x^2 + 25y^2 = 400 is

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  2. The equation of the ellipse whose axes are along the coordinate axes, ...

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  3. The foci of an ellipse are (+- 2,0) and its eccentricity is 1/2 then t...

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  4. If the length of latus rectum is 5/2 and eccentricity is 1/2, then the...

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  5. The line y = 2x + c touches the ellipse (x^2)/(16) + (y^2)/(4) = 1 if ...

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  6. The sum of distance of any point on the ellipse 3x^2 + 4y^2 = 24 from ...

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  7. The equation(x^2)/(2 - r) + (y^2)/(r - 5) + 1 = 0 represent an ellipse...

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  8. Sum of the focal distance of the ellipse (x^2)/(a^2) + (y^2)/(b^2) = 1...

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  9. The radius of the circle passing throgh the foci of the ellipse (x^2)/...

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  10. The eccentricity of an ellipse with its centre at the origin is 1/2. I...

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  11. The maximum area of an isosceles triangle inscribed in the ellipse (x^...

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  12. The ellipse with foci at (0,1) , (0,4) and one vertex at the origin is

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  13. The euqaiton of the conic with focus (2,-1) directrix x - y = 0 and ec...

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

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  15. Find the vertices, foci for the hyperbola 9x^(2)-16y^(2)=144.

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  16. S and T are the foci of an ellipse and B is an end point of the minor ...

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

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  18. The centre of the ellipse 8x^2 + 6y^2 - 16x + 12y + 13 = 0

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