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If the ellipse (x^(2))/( 4) + y^(2) =1 m...

If the ellipse `(x^(2))/( 4) + y^(2) =1` meets the ellipse ` x^(2) +(y^(2))/( a^(2)) =1` in four distinct points and ` a= b ^(2) - 5b+ 7, ` then b does not lie in

A

` [4,5 ]`

B

`( infty ,2 ) uu( 3, infty ) `

C

` (-infty ,0) `

D

` [2,3]`

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The correct Answer is:
D
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AAKASH SERIES-REVISION EXERCISE -ELLIPSE
  1. Tangents are drawn to the ellipse (x^(2))/(a^(2)) +(y^(2))/( b^(2)) =a...

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  2. The nature of inter cepts made on the axes by the tangent at the point...

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  3. If the ellipse (x^(2))/( 4) + y^(2) =1 meets the ellipse x^(2) +(y^(...

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  4. Angle substended by common tangents of two ellipse 4( x-4) ^(2) +25y^(...

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  5. The line x= t^(2) meet the ellipse x^(2) +(y^(2))/( 9) =1 in the rea...

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

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  7. If a tangent of slope 2 of the ellipse (x^(2))/( a^(2)) +(y^(2))/( b^...

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  8. Statement 1: In a triangle ABC , If base BC is fixed and perimeter of ...

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

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  10. Statement 1: In an ellipse the sum of the distances between foci is al...

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  11. Statement 1: Any chord of the conic x^(2) +y^(2) +xy = 1 through (0,0...

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  12. Statement 1: The area of the ellipse 2x^(2) +3y^(2) =6 is more than t...

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  13. Statement 1: An equation of a common tangent to the parabola y^(2) =16...

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  14. The equation of the circle passing through the foci of the ellipse (x^...

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  15. The locus of the foot of perpandicular drawn from the centre of the e...

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  16. If and c are positive real number and the ellipse (x^(2))/( 4c^(2)) +...

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  17. Let the equation of two ellipse be E1:( x^(2))/( 3)+ ( y^(2))/( 2) =1 ...

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  18. If the curves (x^(2))/(alpha)+(y^(2))/(4)=1 and y^(3)=16x intresect a...

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  19. A point on the ellipse 4x^(2) +9y^(2) = 36 where the normal is paralle...

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  20. If OB is the semi-minor axis of an ellipse , F1 and F2 are its foci an...

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