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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

`(5)/(3)`

B

`(8)/(3)`

C

`(2)/(3)`

D

`(4)/(3)`

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The correct Answer is:
B
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MODERN PUBLICATION-ELLIPSE-(LEVEL-II) MCQ
  1. A tangent at any point on the ellipse (x^(2))/(9)+(y^(2))/(4)=1 is cut...

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  2. If y=xand2x+3y=0 are equations of a pair of conjugate diameters of an ...

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  3. If chord ofcontact ofthe tangents drawn from the point (alpha,beta)to ...

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  4. If the polar of (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is always touching t...

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  5. S1 and S2 are the foci of the elipse x^2/sin^2 alpha+y^2/cos^2 alpha=1...

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  6. Suppose S and S' are foci of the ellipse (x^(2))/(25)+(y^(2))/(16)=1. ...

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  7. If the foci of the ellipse (x^2)/(16)+(y^2)/(b^2)=1 and the hyperbola ...

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  8. If tanalphatanbeta=-(a^(2))/(b^(2)), then the chord joining the points...

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  9. Find the equation of the normal to the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

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  10. if tangents are drawn to the ellipse x^(2)+2y^(2)=2 all points ...

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  11. Area of the greatest rectangle that can be inscribed in the ellipse (x...

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  12. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

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

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

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  15. If the locus of the middle point of the portion of a tangent of the el...

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  16. In a model, it is shown that an arc of a bridge is semi-elliptical hav...

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  17. A tangent is drawn at the point (3sqrt3costheta, sintheta) for 0ltthet...

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  18. If (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is an ellipse and tangent at any ...

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  19. The line passing through the extremity A of the major exis and extrem...

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  20. The normal at a point P on the ellipse x^(2)+4y^(2)=16 meets the x-axi...

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