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If x^2/36-y^2/k^2=1 is a hyperbola then ...

If `x^2/36-y^2/k^2=1` is a hyperbola then which of the following statement is true.

A

`(-2,1)` lies on the hyperbola

B

`(3,1)` lies on the hyperbola

C

`(10,4)` lies on the hyperbola

D

`(5,2)` lies o the hyperbola

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The correct Answer is:
C
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TARGET PUBLICATION-CIRCLE AND CONICS -COMPETITIVE THINKING
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  4. The equation x^2 / (12-k) + y^2 /(8-k) = 1 represents a hyperbola if

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  5. Which of the followig is the equation of a hyperbola ?

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  8. The eccentricity of the conic x ^(2) -4y ^(2) =1 is

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

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

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  11. The eccentricity of the hyperbola whose length of the latus rectum is ...

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  12. If the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(9)=1and(...

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  13. The difference of the focal distance of any point on the hyperbola 9x ...

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  14. The distance between two directrices of a rectangular hyperbola is 10 ...

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  15. IF t is a parameter, then x = a(t + (1)/(t)) and y = b(t - (1)/(t)) re...

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  19. If the foci of the ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and the hype...

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