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The equation to the hyperbola having its...

The equation to the hyperbola having its eccentricity 2 and the distance between its foci 8 is...

A

`(x^(2))/(8)-(y^(2))/(2)=1`

B

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

C

`(x^(2))/(12)-(y^(2))/(4)=1`

D

`(x^(2))/(4)-(y^(2))/(12)=`

Text Solution

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The correct Answer is:
D
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HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
  1. The locus of a point which moves such that the difference of its dista...

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

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

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

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

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

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

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  8. 2x +sqrt6y=2 touches the hyperbola x^2-2y^2=4 , then the point of cont...

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

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

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

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

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

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

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  15. If e(1) and e(2) are the eccentricities of a hyperbola and its conjuga...

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  16. If e and e' be the eccentricities of a hyperbolas xy=c^2 and x^2-y^2=c...

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

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  18. The eccentricity of the hyperbola 9 x^(2)-16 y^(2)+72 x-32 y-16=0 is

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  19. The vertices of a hyperbola are (2,0),(-2,0) and the foci are (3,0),(-...

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  20. The equation of a line which touches both the curves y^(2)=4 x and 3 x...

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