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Equation of the hyperbola with one focus...

Equation of the hyperbola with one focus at the origin and directrix x+3=0 and eccentricity `sqrt3` is

A

`x^(2)-2y^(2)+18x+27=0`

B

`2x^(2)-y^(2)+18x+27=0`

C

`x^(2)-2y^(2)-18x-27=0`

D

`2x^(2)-y^(2)-18x+27=0`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-HYPERBOLA-Exercise -I
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  2. The equation of the hyperbola whose foci are ( +- 5,0) and eccentric...

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  3. The equation of the hyperola whose centre is (1,2) one focus is (6,2) ...

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  4. x^(2) -y^(2) +5x +8y -4=0 represents

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  5. If (lambda-2)x^(2)+4y^(2)=4 represents a rectangular hyperbola then la...

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  6. If m is a variable the locus of the point of intersection of the lines...

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  7. The centre of the hyperbola x^(2)-y^(2)-4x-2y-8=0 is

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  8. The vertices of the hyperbola x^(2)-3y^(2)+2x+12y+1=0 are

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  9. The length of the transverse axis of 9x^(2)-16y^(2)-18x-32y-151=0 is

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  10. The length of the latus rectum of the hyperbola x^(2) -4y^(2) =4 is

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  11. The equation of the conjugate axis of the hyperbola ((y-2)^(2))/(9)-((...

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  12. Equation of directrices of 4x^(2)-9y^(2)=36 are

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  13. The equation of the latusrectum of the hyperbola 3y^(2)-4x^(2)=12 are

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  14. The equation of the axes of the hyperbola 9x^(2) -16y^(2) +72x -32y -1...

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  15. If a,b are eccentricities of a hyperbola and its conjugate hyperbola t...

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  16. The eccentricity of the conjugate hyperbola of the hyperola x^(2)-3y^(...

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  17. If e(1) and e(2) are eccentricities of the hyperbolas xy=c^(2) and x^2...

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  18. The locus of the point ( (e^(t) +e^(-t))/( 2),(e^t-e^(-t))/(2)) is a h...

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  19. The distance between the foci is 4sqrt(13) and the length of conjugate...

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  20. The latus rectum of a hyperbola (x^(2))/( 16) -(y^(2))/( p) =1 is 4(1...

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