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The equation of the transverse and cojug...

The equation of the transverse and cojugate axes of a hyperbola are respectively `x+ 2y -3=0 ,2x -y+4=0`
and their respectively length are` sqrt 2 and 2//sqrt 3` . The equation of the hyperbola is

A

` (2)/(5) (x+2y -3)^(2) -(3)/(5) (2x-y+4)^(2) =1`

B

` ( 2)/(5) (2x- y +3) ^(2) ( 3)/(5) (x+2y -3) ^(2) =1`

C

` 2( 2x-y+4)^(2) -3( x+2y -3)^(2) =1`

D

` 2(x+2y-3) ^(2) -3 (2x-y+4)^(2) =1`

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. The equation of the hyperbola whose transverse axis is 14 and whose ve...

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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 equation of the transverse and cojugate axes of a hyperbola are r...

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  4. the centre of the hyperbola 9x^(2 )- 16y^(2)+ 72 x - 32y -16=0 is

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

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

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

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

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

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

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

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

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

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

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

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

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  18. The eccentricity of the rectangular hyperbola is

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

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

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