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The point (at^2,2bt) lies on the hyperbo...

The point `(at^2,2bt)` lies on the hyperbola `x^2/a^2-y^2/b ^2= 1` for

A

all real values of t

B

`t^(2)=2+sqrt(5)`

C

`t^(2)=2-sqrt(5)`

D

no real value of t

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The correct Answer is:
b
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MCGROW HILL PUBLICATION-HYPERBOLA-EXERCISE LEVEL 1(SINGLE CORRECT ANSWER TYPE QUESTIONS)
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  3. The point (at^2,2bt) lies on the hyperbola x^2/a^2-y^2/b ^2= 1 for

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  4. If the coordinates of four concyclic point on the rec­tangular hyperbo...

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  5. The eccentricity of a rectangular hyperbola, is

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  6. If ea n de ' the eccentricities of a hyperbola and its conjugate, p...

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  7. Foci of the rectangular hyperbola are (pm 7) the equation of the hype...

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  8. The is a point P on the hyperbola (x^(2))/(16)-(y^(2))/(6)=1 such that...

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  9. The normal at a point P to the parabola y^(2) = 4x is parallel to the ...

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  10. The difference between the length 2a of the trans­verse axis of a hype...

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  11. The locus of the point of intersection of the tangents to the hyperbol...

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  12. If the asymptotes of the hyperbola perpendicular to the asymptotes of...

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  13. P and Q are two points on the rectangular hyperbola xy = C^(2) such th...

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  14. Normal at (3, 4) to the rectangular hyperbola x y - y - 2 x - 2 = 0 me...

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  15. Find the locus of the-mid points of the chords of the circle x^2 + y^2...

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  16. If the eccentricity of the hyperbola is sqrt(5) and the distance betwe...

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  17. If the extremities of the latus rectum of the hyperbola with positive...

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  18. The locus of the point of intersection of the lines sqrt3 x- y-4sqrt3 ...

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