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The transverse axis of a hyperbola is of...

The transverse axis of a hyperbola is of length 2a and a verlex divides the segment of the axis between the centre and the corresponding focus in the ratio 2 : 1. The equation of the hyperbola is

A

`5x^(2)-4y^(2)=5a^(2)`

B

`5x^(2)-4y^(2)=4a^(2)`

C

`4x^(2)-5y^(2)=5a^(2)`

D

`4x^(2)-5y^(2)=4a^(2)`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-HYPERBOLA-Exercise -II
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  2. The vertices of a hyperbola are (2,0 ) ,( -2,0) and the foci are (3,0...

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  3. The transverse axis of a hyperbola is of length 2a and a verlex divide...

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  4. If e(1) is the eccentricity of the ellipse x^(2)/16+y^(2)/25=1 and e(2...

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  5. The equation (x^(2))/(7-K) +(y^(2))/(5-K)=1 represents a hyperbola if

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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