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The vertices of the hyperbola x^(2) -3y...

The vertices of the hyperbola ` x^(2) -3y^(2) +2x +12y +1=0 ` are

A

`( +- 3,0) `

B

` (1+-2,2)`

C

`( -1,2+-2)`

D

`( 1,-2+-3)`

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. the centre of the hyperbola 9x^(2 )- 16y^(2)+ 72 x - 32y -16=0 is

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

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  3. The vertices of the hyperbola x^(2) -3y^(2) +2x +12y +1=0 are

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  4. The foci of the hyperbola 2x^(2) -y^(2) -4x + 4y -10 =0 are

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

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  6. The distance between the foci of the hyperbola x^(2) -3y^(2) -4x -6y ...

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  7. The length of the transverse axis of the hyperbola 9x^(2) - 16y^(2) -...

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  8. The length of the transverse axis of the hyperbola 4x^(2) -9y^(2) +8x...

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

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  10. The length of the latus rectum of the hyperbola x^(2) -4y^(2) =4 is

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

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

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  13. The eccentricity of the hyperbola 9x^(2) -16y^(2) +72 x- 32 y- 16 =0 ...

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  14. The eccentricity of the hyperbola 4x^(2) -9y^(2) =36 is

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  15. The eccentricity of the rectangular hyperbola is

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  16. The eccentricity of the hyperbola whose latus rectum is equal to half...

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  17. The eccentricity of the hyperbola whose latus rectum is equal to half ...

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  18. The eccentricity of the hyperbola whose length of the latus rectum is ...

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  19. If e and e' are the ecentricity of the hyperbola x^(2)//a^(2) -y^(2) ...

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  20. If e1 and e2 are the eccentricities of a hyperbola and its conjugates ...

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