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The eccentricity of the hyperbola (sqr...

The eccentricity of the hyperbola
`(sqrt(1999))/(3)(x^(2)-y^(2))=1` is

A

`sqrt(2)`

B

2

C

`2 sqrt(2)`

D

`sqrt(3)`

Text Solution

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The correct Answer is:
A
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HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
  1. The point of intersection of two perpendicular tangents to (x^(2))/(a^...

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  2. The line p=x cos alpha+y sin alpha becomes tangent to (x^(2))/(a^(2))-...

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  3. The eccentricity of the hyperbola (sqrt(1999))/(3)(x^(2)-y^(2))=1 is

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  4. The product of the perpendicular from any poitn P(x,y) on the hyperbol...

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  5. The length of transverse axis of the hyperbola 3x^(2) - 4y^(2) = 32 is

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  6. Which of the statements in the following is false in respect of the co...

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  7. The locus of a point which moves such that the difference of its dista...

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  8. Eccentricity of the hyperbola (x^(2))/(16)-(y^(2))/(25)=1 is

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  9. The equation to the hyperbola having its eccentricity 2 and the distan...

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  10. If the distance between the foci and the distance between the directri...

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  11. If (x^(2))/(36) - (y^(2))/(k^(2)) = 1 is a hyperbola, then which of th...

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  12. The distance between the foci of the hyperbola x=8 sec theta, y=6 tan ...

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  13. Which one of the following is independent of alpha in the hyperbola (0...

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  14. 2x +sqrt6y=2 touches the hyperbola x^2-2y^2=4 , then the point of cont...

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  15. If e(1) is the eccentricity of the ellipse (x^(2))/(16)+(y^(2))/(25)=1...

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  16. The equation of the chord joining the points (x1,y1) and (x2,y2) on th...

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  17. The locus of a point P(alpha, beta) moving under the condition that th...

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  18. The curve represented by x=a(cosh theta+sinh theta), y=b(cosh theta-si...

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  19. Combined equations of asymptotes of the hyperbola 2 x^(2)-3 y^(2)+4 x-...

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  20. Equation of the conic with focus at (1,-1) directrix along x-y+1=0 and...

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