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If the equation 4x^(2) + ky^(2) = 18 re...

If the equation ` 4x^(2) + ky^(2) = 18` respresents a hyperbola whose eccentricity is `sqrt(2)` , then k =

A

4

B

-4

C

3

D

-3

Text Solution

Verified by Experts

The correct Answer is:
B
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. If ea n de ' the eccentricities of a hyperbola and its conjugate, p...

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  2. The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=...

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  3. If the equation 4x^(2) + ky^(2) = 18 respresents a hyperbola whose ec...

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  4. The eccentricity of the hyperbola (sqrt(2006))/(4) (x^(2) - y^(2))= 1...

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  5. If e(1) , e(2) " and " e(3) the eccentricities of a parabola , and e...

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  6. If e(1) be the eccentricity of a hyperbola and e(2) be the eccentricit...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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