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The foci of the ellips (x^(2))/( 16) +(...

The foci of the ellips ` (x^(2))/( 16) +(y^(2))/( b^(2) ) =1 ` and the hyperbola ` (x^(2))/( 144) -( y^(2))/( 81) =(1)/(25) ` coincide ,then the value of ` b^(2) ` is

A

5

B

7

C

9

D

1

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The correct Answer is:
B
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AAKASH SERIES-REVISION EXERCISE -HYPERBOLA
  1. The locus of the points of intersection of tangents to the hyperbola ...

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  2. For the hyperbola (x^(2))/( cos ^(2) alpha ) -(y^(2))/( sin ^(2) alph...

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  3. The foci of the ellips (x^(2))/( 16) +(y^(2))/( b^(2) ) =1 and the h...

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  4. If (3,1) is a focus and x= 0 is the corresponding directrix of a conic...

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  5. If the normal at the point t(1) to the rectangle hyperola xy=c^(2) mee...

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  6. The length of the semi treansverse axis of the rectangular hyperbola x...

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  7. Focii of the curve xy = -4 are

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  8. Length of the principal axis of the hyperbola xy= 32 is

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  9. If (xi yi) ,i =1,2,3,4 are concylic points on xy= 4 then x1x2x3x4 =

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  10. If (xi yi) ,i = 1,2,3,4 are concyclic points on xy=c^(2) and if y1. ...

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  11. The locus a point P ( alpha , beta) moving under the condition that ...

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  12. The auxiliary circle of the hyperbola xy=9 is:

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  13. If a hyperbola has one focus at the origin and its eccentricity is sqr...

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  14. If a hyperbola has one focus at the origin and its eccentricity is sqr...

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  15. The point of intersection of the asymptotes with the directrices lie o...

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  16. If a hyperbola passing through the origin has 3x-4y -1=0 and 4x -3y -6...

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  17. The eccentricity of the hyperbola 3x^(2) +7xy +2y^(2) -11x -7y +10 ...

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  18. If H(x,y) =0 represents the equation of a hyperbola and A( x,y ) =0 ,...

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  19. The equation of a hyperbola conjugate to the hyperbola 2x^(2) +3xy -2y...

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  20. The equation to the conjugate hyperbola of xy+ 3x- 4y +13=0 is

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