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If the ratio of transverse and conjugate...

If the ratio of transverse and conjugate axis of the hyperbola `x^2 / a^2 - y^2 / b^2 = 1` passing through the point `(1, 1)` is `1/3`, then its equation is

A

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

B

`x^(2) - 9y^(2) = 8 `

C

`9x^(2) - y^(2) = 8 `

D

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

Text Solution

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The correct Answer is:
C
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FIITJEE-HYPERBOLA-ASSIGNMENT PROBLEMS ( OBJECTIVE) Level - I
  1. Let (5 tan theta , 3 sec theta) be a point on the hyperbola for all va...

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  2. The angle between the lines joining the origin to the points of inters...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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