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If the length of the semi major axis of an ellipse is 68 and eccentricity is 1/2 then the area of the rectangle formed by joining the ends of the Latusrecta of the ellipse is equal to

A

` 6935`

B

` 6936`

C

` 6930`

D

` 6946`

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The correct Answer is:
B
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AAKASH SERIES-REVISION EXERCISE -ELLIPSE
  1. Axes are co-ordinate axes, S and S^(1) are Foci, B and B^(1) are th...

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  2. If the ecentricity of the ellipse (x^(2))/( a^(2) +1) +(y^(2))/(a^(2)+...

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  3. If the length of the semi major axis of an ellipse is 68 and eccentric...

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  4. A square is inscribed inside the ellipse (x^(2))/( a^(2)) +(y^(2))/( b...

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  5. An ellipse is incribed in a rectangle and if the angle between the dia...

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  6. The circle on SS^' as diameter intersects the ellipse in real points t...

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  7. Let S and S^(1) be the foci of an ellipse . At any point P on the el...

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  8. The angle of inclination of the chord joining the ends of major axis a...

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  9. x^(2) +4y^(2) +2x +16y +k=0 represents an ellipse with ecentricity (...

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  10. A conic has latus rectum length 1, focus at (2,3) and the correspondi...

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  11. The total number of real tangents that can be drawn to the ellipse 3x^...

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  12. A tangent is drawn to the ellipse (x^(2))/( 27 ) +y^(2) =1 at the poi...

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  13. The set of values of 'a' for which (13 x-1 ) ^(2) + (13y -2) ^(2) =a...

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  14. A, A^(1) are the vertices , S, S^(1) are the foci of an ellipse . T...

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  15. The point P( (pi )/(4)) lie on the ellipse (x^(2))/( 4) +( y^(2))/(2...

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  16. P is a point on the ellipse (x^(2))/(a^(2)) +(y^(2))/( b^(2)) =1 with ...

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  17. The normal at a poitn P( theta) on the ellipse 5x^(2) +14y^(2) =70 ...

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  18. The major axis of an ellipse is y =x and one vertex is at origin , the...

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  19. In a model. It is shown that an arch of abridge is semi-elliptical wit...

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  20. A bridge is in the shape of a semi ellipse . If it is 400 m long and h...

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