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Equation of the hyperbola with latus rec...

Equation of the hyperbola with latus rectum `(22)/(5)` and eccentricity 6/5 is

A

`x^(2)/9-y^(2)/4=1`

B

`x^2/(16)-y^(2)/(20)=1`

C

`x^(2)/(16)-y^(2)/(9)=1`

D

`x^(2)/(25)-y^(2)/(11)=1`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-HYPERBOLA-Practice Exercise
  1. The equation of the hyperola whose vertices are (2,5), (2,-1) and ecce...

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  2. The equation to hyperola whose centre is (0,0) distance between the fo...

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  3. Equation of the hyperbola with latus rectum (22)/(5) and eccentricity ...

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  4. The equation of the hyperola of given transverse axis 2a with its vert...

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  5. If e is the eccentricity, l is the semi latus-rectum and S. S^(1) are ...

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  6. Match the numerical difference of the focal distance of any point on t...

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  7. Assertion (A): The locus of the point ((e^(2t)+e^(-2t))/(2), (e^(2t)-e...

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  8. If x^(2)/(12-k) -(y^(2))/(k-8)=1 represents a hyperbola then

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  9. The vertices of the hyperbola ((x-2)^(2))/( 9) -((y-3)^(2))/( 4) =1 a...

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  10. The equation of the latusrecta of the hyperola ((x-4)^(2))/(16)-((y-3)...

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  11. The length of the conjugate axis of the hyperbola 9x^(2) -16y^(2) - 1...

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  12. The length of the latus rectum of the hyperbola 25x^(2)-16y^(2)=400 is

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  13. The foci of the hyperbola 9x^(2) -16y ^(2)+18x +32 y- 151=0 are

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  14. The length of the latus rectum of the hyperbola 9x^(2) -16y^(2) +72x ...

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  15. The equation of directrices of the hyperbola 5x^(2) -4y^(2) -30x -8y ...

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  16. The equations of the latus recta of the hyperbola 9x^(2) -16y^(2) -18...

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  17. If sec theta is the eccentricity of a hyper bola then the eccentricity...

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  18. The eccentricity of the hyperbola 9x^(2) -16y^(2) =144 is

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  19. If the latusrectum subtends a right angle at the centre of the hyperbo...

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  20. The eccentricity of the hyperola whose latus rectum subtends a right a...

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