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The locus represented by x=a/2(t+1/t), ...

The locus represented by `x=a/2(t+1/t), y=a/2(t-1/t)` is

A

circle

B

parabola

C

ellipse

D

hyperbola

Text Solution

Verified by Experts

The correct Answer is:
D
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. If e(1) be the eccentricity of a hyperbola and e(2) be the eccentricit...

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  2. If t is a non-zero parameter , then the locus of the point of intersec...

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  3. The locus represented by x=a/2(t+1/t), y=a/2(t-1/t) is

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  4. A hyperbola, centred at the prigin, has transverse axis 2a. If it pass...

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  5. For the hyperbola (x^(2))/(cos^(2) alpha ) - (y^(2))/(sin^(2) alpha )...

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  6. Point P, Q and R on the hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^(2)) =...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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