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The equation of the hyperbola whose foci...

The equation of the hyperbola whose foci are `(6, 5), (–4, 5) `and eccentricity `5//4` is

A

`((x-1)^(2) )/16 - ((y - 5)^(2))/9 = 1`

B

`x^(2)/16 - y^(2)/9 = 1`

C

`((x - 1)^(2))/16 - ((y - 5)^(2))/9 = - 1`

D

None of these

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The correct Answer is:
A
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FIITJEE-HYPERBOLA-ASSIGNMENT PROBLEMS ( OBJECTIVE) Level - I
  1. The angle between the lines joining the origin to the points of inters...

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  2. If the ratio of transverse and conjugate axis of the hyperbola x^2 / a...

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  3. The equation of the hyperbola whose foci are (6, 5), (–4, 5) and eccen...

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  4. If alpha+beta=3pi , then the chord joining the points alpha and beta f...

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  5. From any point to the hyperbola ^2/a^2-y^2/b^2=1, tangents are drawn ...

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  6. If the foci of the ellipse x^(2)/16 + y^(2)/b^(2) =1 and the hyperbo...

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  7. Let P(a sectheta, btantheta) and Q(aseccphi , btanphi) (where theta+...

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  8. Let P(a sectheta, btantheta) and Q(aseccphi , btanphi) (where theta+...

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  9. A tangent to the parabola x^(2) = 4ay meets the hyperbola x^(2) - y^(2...

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  10. The focus of the rectangular hyperbola (x + 4) (y-4) = 16 is

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  11. If the hyperbola xy = c^(2) touches the curve x^(2) + 2y^(2) + alpha x...

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  12. The line y = 4x + c touches the hyperbola x^(2) - y^(2) = 1 if

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  13. Consider the hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1. Area of the tria...

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  14. Number of point (s) outside the hyperbola x^(2)/25 - y^(2)/36 = 1 from...

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  15. If e is the eccentricity of x^2/a^2-y^2/b^2=1 and theta be the angle b...

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  16. A hyperbola, having the transverse axis of length 2 sin theta, is conf...

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  17. If the tangent and the normal to a rectangular hyperbola xy = c^(2) , ...

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  18. From a point on the line y=x+c, c(parameter), tangents are drawn to th...

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  19. Locus of the points of intersection of perpendicular tangents to x^(2)...

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  20. The angle between tangents drawn to the curve xy = 4 from the point (1...

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