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A focus of an ellipse is at the origin t...

A focus of an ellipse is at the origin the directrix is the line x=4 and the eccentricity is 1/2 . Then the length of semi major axis is

A

`8/3`

B

`2/3`

C

`4/3`

D

`5/3`

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The correct Answer is:
A
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AAKASH SERIES-ELLIPSE-EXERCISE-II
  1. The radius of the circle passing through the foci of the ellipse x^(2)...

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  2. S and S^(1) foci of an ellipse. B is one end of the minor axis. If I.S...

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  3. A focus of an ellipse is at the origin the directrix is the line x=4 a...

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  4. The eccentricity of the ellipse x^(2)+4y^(2)+2x+16y+13=0 is

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  5. LL^(1) is the latus rectum of an ellipse and triangleS^(1)LL^(1) is an...

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  6. The area of an ellipse is 8pi sq. units dist. between the foci is 4sqr...

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  7. Statement-I : If a Iatusrectum of an ellipse subtends angle 60^(@) at ...

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  8. A circle is described with minor axis of an ellipse as a diameter. If ...

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  9. The eccentricity of the ellipse given by the locus of the point P(x, y...

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  10. If (5, 12) and (24, 7) are the focii of conic passing through (0, 0), ...

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  11. If S and S^(1) are the foci BB^(1) is the minor axis such that Ang(SBS...

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

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  13. The eccentricity of the ellipse 9x^(2) + 5y^(2) - 18x - 2y - 16 = 0 is

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  14. In an ellipse the distance between the foci is 6 and it's minor axis i...

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  15. S and S^(1) foci of an ellipse. B is one end of the minor axis. If I.S...

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  16. The slopes of the tangents drawn from (4, 1) to the ellipse x^(2)+2y^(...

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  17. Statement-I : The sum of the slopes of the tangents drawn from (5,4) ...

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  18. C is the centre of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 and...

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  19. Statement-I : The distance of the normal to x^(2) + 2y^(2) = 5 at (1,s...

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  20. The product of the perpendicular distances drawn from the foci to any ...

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