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The eccentricity of the conic x ^(2) -4y...

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

A

`(2 )/(sqrt3)`

B

`(sqrt3)/(2)`

C

`(2)/(sqrt3)`

D

`(sqrt5)/(2)`

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Verified by Experts

The correct Answer is:
D
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TARGET PUBLICATION-CIRCLE AND CONICS -COMPETITIVE THINKING
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  3. The eccentricity of the conic x ^(2) -4y ^(2) =1 is

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

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

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

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  11. x ^(2), -4y ^(2) -2x + 16 y -40=0 reprsents

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  12. The locust of the point of intersection of lines sqrt3x-y-4sqrt(3k)=0 ...

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  13. The line segment joining the foci of the hyperbola x^2 – y^2 +1 = 0 is...

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

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  15. Let the eccentricity of the hyperbola (x ^(2))/(a ^(2))- (y ^(3))/(b ^...

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  16. Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=...

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  17. The length of the straight line x-3y=1, intercept by the hyperbola x^2...

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  18. The locue of the mis-points of the chords of the circel x ^(2) + y ^(2...

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  19. If x + y+ k =0 touches the circle x ^(2) + y^(2) -2x -4y + 3 =0, then ...

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