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The eccentricity of the hyperbola 4x^(2)...

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

A

`a/b`

B

`sqrtb/a`

C

`sqrt(13)/2`

D

`sqrt(13)/(3)`

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The correct Answer is:
D
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AAKASH SERIES-HYPERBOLA-Exercise -II
  1. The foci of the ellipse (x^2)/(16)+(y^2)/(b^2)=1 and the hyperbla (x^2...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. 3x+4y-7=0 is normal to 4x^(2)-3y^(2)=1 at the point

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

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

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

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  19. If the normal at theta on the hyperbola x^(2)//a^(2)-y^(2)//b^(2)=1 me...

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  20. If the l x+ my=1 is a normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/...

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