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x^(2) +4y^(2) +2x +16y +k=0 represents...

`x^(2) +4y^(2) +2x +16y +k=0 ` represents an ellipse with ecentricity `(sqrt3)/(2) ` for

A

only one value of k

B

only two real values of k

C

infinite number of values of k

D

no real value of k

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The correct Answer is:
B
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AAKASH SERIES-REVISION EXERCISE -ELLIPSE
  1. Let S and S^(1) be the foci of an ellipse . At any point P on the el...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. (2,4 ) and (10 , 10 ) are the ends of the latus rectum of an ellipse...

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  16. A common tangent to the circle x^(2) +y^(2) =16 and an ellipse (x^(2...

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  17. The equation of common tangents to the ellipse x^(2) +2y^(2) =1 and...

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  18. Let PSP ^(1) is a focal chord of the ellipse 4x^(2) +9y^(2) =36 and...

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  19. The locus of the mid points of the normal chords of ( x^(2) ) /(a^(2))...

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  20. Tangents are drawn through the point (4, sqrt3) to the ellipse (x^(2...

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