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Focus (4, 0), e = 1/2 , directrix is x -...

Focus (4, 0), e =` 1/2` , directrix is x -16 = 0. Then equation of the ellipse is

A

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

B

`(x^(2))/(64)+(y^(2))/(32)=1`

C

`(x^(2))/(64)+(y^(2))/(48)=1`

D

`(x^(48))/(16)+(y^(2))/(64)=1`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-ELLIPSE-EXERCISE-I
  1. Focus (4, 0), e = 1/2 , directrix is x -16 = 0. Then equation of the e...

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  2. The equation of the ellipse whose foci are (pm3,0) and eccentricity 3/...

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  3. If centre (1, 2), axes are parallel to co-ordinate axes, distance betw...

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  4. If vertices are (2, -2), (2, 4) and e = 1/3 then equation of the ellip...

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  5. The centre of the ellipse 9x^(2)+25y^(2)-18x-100y-160=0 is

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  6. The centre of the ellipse (x+y-2)^(2)/9+(x-y)^(2)/16=1 is

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  7. The centre of the ellipse (x+y-3)^(2)/9+(x-y+1)^(2)/16=1 is

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  8. The Foci of the ellipse (x^(2))/(16)+(y^(2))/(25)-1 are

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  9. The length of the latusrectum 16x^(2)+25y^(2) = 400 is

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  10. If the latus rectum of the ellipse x^(2)tan^(2)alpha+y^(2)sec^(2)alpha...

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  11. If PSP' is a focal chord of the ellipse (x^(2))/(7)+(y^(2))/(9)=1 then...

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  12. P is a point on the ellipse (x^(2))/(36)+(y^(2))/(9)=1; S,S^(1) are ...

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  13. The distance between the focii of the ellipse x = 3 cos theta, y = 4 s...

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  14. The equation of the major axis of the ellipse (x-1)^(2)/(9)+(y-6)^(2...

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  15. The equation of one of the latusrectum of (x-3)^(2)/(5)+(y-5)^(2)/(9)...

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  16. The eccentricity of the ellipse (x^(2))/(16)+(y^(2))/(25) =1 is

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  17. The eccentricity of the ellipse (x-1)^(2)/(16)+(y-2)^(2)/(9)=1 is

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  18. The eccentricity of the ellipse 9x^(2)+25y^(2)-18x-100y+20=0 is

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  19. If a line (x)/(8)+(y)/(5)=1 meets the ellipse on x - axis and the lin...

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  20. If the length of the major axis is n times the minor axis of the ellip...

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