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The equation of the hyperbola with centr...

The equation of the hyperbola with centre `(0,0),` distance between the foci is 18 and the distance between the directrices is 8 is

A

`(x^(2))/(16)-(y^(2))/(45)=1`

B

`(x^(2))/(36)-(y^(2))/(25)=1`

C

`(x^(2))/(36)-(y^(2))/(45)=1`

D

`(x^(2))/(25)-(y^(2))/(36)=1`

Text Solution

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The correct Answer is:
C
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HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
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  4. Tangent to hyperbola 4 x^(2)-5 y^(2)=16 at (3,-2) is

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  5. The line 5 x+12 y=9 touch the hyperbola x^(2)-9 y^(2)=9 at

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  6. The conjugate axis of a hyperbola is 8 and passes through (3,-2) . The...

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  7. The tangents to hyperbola 3 x^(2)-y^(2)=3 which are perpendicular to t...

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  8. The equation to the normal to the hyperbola (x^(2))/(16)-(y^(2))/(9)=1...

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  9. The equation of the normal at theta=(pi)/(6) to the hyperbola 3 x^(2)-...

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  10. The normal to hyperbola 4 y^(2)-5 x^(2)=20 at the point (-4,5) is give...

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  11. The asymptotes of the hyperbola are y pm x sqrt(3)=0 and it passes thr...

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  12. The equation of a hyperbola whose asymtotes are 3xpm5y=0 and vertices ...

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  13. The angle between the asymptotes of the hyperbola 3 x^(2)-y^(2)=3 is

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  14. If theta is the angle between the asymptotes of the hyperbola (x^(2))/...

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  15. The asymptote of the hyperbola 9 x^(2)-25 y^(2)=225 are

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  16. The eccentricity of a hyperbola is (5)/(3) then the eccentricity of it...

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  17. The product of the perpendiculars drawn from the hyperbola (x^(2))/(4)...

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  18. If e is the eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)...

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  19. The distance of the P on the parabola y^(2)=4 x from the focus is 26. ...

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