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The equation to the hyperbola with verte...

The equation to the hyperbola with vertex (4,0) and having asymptotes ` 4x+-3y =0 ` is

A

`16x^(2) -9y^(2) =256`

B

`16 x^(2) +9y^(2) =256`

C

` 16x^(2) -9y^(2) = 156`

D

` 16x^(2) -9y^(2) =56`

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. The combined equation of the asymptotes of the hyperbola xy+x+y+5=0 is

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  2. The asymptotes of the hyperbola 6x^(2) +13xy +6y^(2) -7x -8y-26 =0 ar...

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  3. The equation to the hyperbola with vertex (4,0) and having asymptotes ...

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  4. The equation of the hyperbola whose asymptotes are 3x+4y -2=0,2x+y+1=...

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  5. The equation of the hyperbola which passes through the point (2,3) a...

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  6. If a hyperbola has one focus at the origin and its eccentricity is sqr...

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  7. If a hyperbola has one focus at the origin and its eccentricity is sqr...

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  8. The assymptotes of the hyperbola are parallel to 3x+2y=0, 2x+3y=0 whos...

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  9. The equation of one asymptote of the hyperbola 14x^(2)+38y+20y^(2)+x-7...

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  10. The product of the perpendicular from any point on the hyperbola x^(2)...

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  11. The product of the perpendicular from the foci on any tangent to the h...

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  12. Find the product of lengths of the perpendiculars from any point on th...

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  13. The product of lengths of the perpendiculars from the point of the hyp...

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  14. The product of lenghts of perpendicular from any point on the hyperbol...

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  15. From any point on the hyperbola x^(2)//a^(2) -y^(2) //b^(2) =1 tange...

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  16. P is a point on x^(2)//a^(2) -y^(2)//b^(2) =1 and A2 A' are the ver...

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  17. The circle on the line joining the foci of the hyperbola b^(2) x^(2) ...

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  18. The point of intersection of the asymptotes with the directrices lie o...

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  19. The area of the triangle formed by any tangent to the hyperbola x^(2)...

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  20. The area (in square units) of the equilateral triangle formed by the t...

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