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One of the foci of the hyperbola is ori...

One of the foci of the hyperbola is origin and the corresponding directrix is ` 3x + 4y + 1=0 ` .The eccentricity of the hyperbola is ` sqrt 5`.The equation of the hyperbola is

A

` 4x ^(2) + 11y ^(2) + 24xy + 6x + 8y + 1=0`

B

` 8x^(2) + 9y^(2) + 24 xy + 6x + 6y+1 =0`

C

` 8x^(2) + 9y^(2) + 24xy + 6x+ 8y +1=0 `

D

` 8x^(2) + 9y^(2) -24xt + 6x + 8y + 1=0`

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 conic with focus at ( 1,-1) directrix along x- ...

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  2. One of the foci of the hyperbola is origin and the corresponding dir...

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  3. The equation of the hyperbola whose foci are ( +- 5,0) and eccentric...

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  4. The equation of the hyperbola whose centre is ( 5,2) vertex is (9,2)...

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  5. The equation of the hyperbola with is axes coordinates axes , whose tr...

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  6. The equation of the hyperbola with is transverse axis parallel to x-ax...

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  7. The equation of the heyperbola with its transverse axis parallel to x-...

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  8. The equation of the hyperbola with is transverse axis is parallel to y...

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  9. The equation of the hyperbola whose centre is (1,2). One focus is (6,2...

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  10. The equation to hyperbola whose centre is (0,0) distance between the ...

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  11. The equation to the hyperbola referred to its axes as coordinate axes ...

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  12. The equation of the hyperbola whose transverse axis is 14 and whose ve...

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  13. The vertices of a hyperbola are (2,0 ) ,( -2,0) and the foci are (3,0...

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

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

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

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

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

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

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

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