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

The foci of the ellipse `(x^2)/(16)+(y^2)/(b^2)=1` and the hyperbla `(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-HYPERBOLA-Exercise -II
  1. The equation (x^(2))/(7-K) +(y^(2))/(5-K)=1 represents a hyperbola if

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  2. If the foci of the ellips (x^(2))/( 25)+ ( y^(2))/( 16) =1 and the hy...

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

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  4. Statement-I : If P,Q,R,S are the ends of latus recta of the hyperbola ...

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  5. The eccentricity of the hyperbola 4x^(2)-9y^(2)=2ax +b^(2) is

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  6. The eccentricity of x^(2)/9-y^(2)/(16)=1 is

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  7. If (5,12), (24,7) are the foci of the hyperbola passing through origin...

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  8. If the ecentricity of a hyperbola is sqrt3 then the ecentricity of its...

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  9. If e and e^1 are the eccentricities of the ellipse 5x^(2)+9y^(2)=45 an...

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  10. If the equation (10x-5)^(2)+(10y 4)^(2)=lambda^(2) (3x+4y-1)^(2) repre...

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  11. Statement-I: The number of integral values of K for which the equation...

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  12. The equation of the director circle of x^(2)//12-y^(2)//8=1 is

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  13. If the tangents drawn from a point on the hyperola x^(2)-y^(2)=a^(2)-b...

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  14. Equation of one of the tangents passing through (2, 8) to the hyperbol...

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  15. The locus of the point of Interection of two tangents to the hyperbola...

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  16. Locus of P such that the chord of contact of P with respect to y^2= 4a...

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  17. 3x+4y-7=0 is normal to 4x^(2)-3y^(2)=1 at the point

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  18. The mid point of the chord 4x-3y=5 of the hyperbola 2x^(2)-3y^(2)=12 i...

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  19. If alpha and beta are two points on the hyperbola x^(2)/a^(2)-y^(2)/b^...

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  20. If the intercepts made by tangent, normal to a rectangular hyperbola x...

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