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

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 the 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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ARIHANT MATHS-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
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  2. Find the 9^(th) term in the following sequence whose n^(th) term is an...

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

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  4. The 5th, 8th, and 11th terms of a GP are p, q and s respectively. Find...

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  5. Is 309 a term of the AP 11, 17, 23….?

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  6. A triangle A B C with fixed base B C , the vertex A moves such that co...

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  7. The conic having parametric representation x=sqrt3(1-t^(2)/(1+t^(2))),...

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  8. The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...

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  9. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

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  10. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

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  11. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

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  12. Find the equation of an ellipse whose axes lie along the coordinate ...

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  13. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

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  14. Statement 1: An equation of a common tangent to the parabola y^2=16s...

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  15. An ellipse is drawn by taking a diameter of the circle (x-1)^2+y^2=1 ...

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  16. the equation of the circle passing through the foci of the ellip...

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  17. A vertical line passing through the point (h, 0) intersects the ellips...

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  18. The locus of the foot of prependicular drawn from the center of the el...

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  19. Tangents are drawn to the ellipse x^2/9+y^2/5 = 1 at the end of latus ...

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  20. Let E1 and E2, be two ellipses whose centers are at the origin.The maj...

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