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The equation x = (e ^(t) + e ^(-t))/(2),...

The equation `x = (e ^(t) + e ^(-t))/(2), y = (e ^(t) -e^(-t))/(2), t in R,` represents

A

a parabola

B

an ellipse

C

a hyperbola

D

a circle

Text Solution

Verified by Experts

The correct Answer is:
C
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. Point P, Q and R on the hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^(2)) =...

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  2. The equation of the conic with focus at (1,-1), directrix along x -y +...

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  3. The equation x = (e ^(t) + e ^(-t))/(2), y = (e ^(t) -e^(-t))/(2), t i...

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  4. Locus of the point of intersection of the lines mx sqrt(3) + my - ...

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  5. Write the equation of the hyperbola whose vertices are (+-3,0) and foc...

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  6. lf the eccentricity of the hyperbola x^2-y^2(sec)alpha=5 is sqrt3 ti...

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  7. Standard equation of the hyperbola having distance between foci to 32 ...

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  8. If 0 lt alpha lt (pi)/(2) and the eccentricity of the ellipse x^...

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  9. If P is a point on the hyperbola 16x^(2) - 9y^(2) = 144 whose foci ar...

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  10. If the latus rectum of an hyperbola be 8 and eccentricity be (3)/( sqr...

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  11. Eccentricity of the hyperbola passing through (3,0) and (3 sqrt(2),2) ...

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  12. Find the equation of the hyperbola whose conjugate axis is 5 and th...

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  13. The length of the transverse axis of a hyperbola is 7 and it passes th...

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  14. If (4,0) and (-4,0) be the vertices and (6,0) and (-6, 0) be the foci ...

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  15. If (0 , pm 4) " and " (0, pm 2) are respectively the foci and verti...

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  16. Eccentricity of the a hyperbola can never be equal to

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  17. A hyperbola passes through (3,2) and (-17, 12) and has its centre at o...

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  18. Equation of hyperbola is standard from having latus rectum = 9 and ecc...

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  19. Distance between foci of a hyperbola is double the distance between it...

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

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