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The vertices of the hyperbola x^(2)-3y^(...

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

A

`(pm3,0)`

B

`(1 pm 2,2)`

C

`(-1,2 pm 2)`

D

`(1, -2 pm3)`

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The correct Answer is:
C
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AAKASH SERIES-HYPERBOLA-Exercise -I
  1. If m is a variable the locus of the point of intersection of the lines...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. If the latus rectum through one focum subtends a right angle at the fa...

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  17. If the lactus recturm of a hyperbola through one focus subtends 60^@ a...

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  18. If the latus rectum of a hyperola forms an equilateral triangle with t...

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  19. The line y=mx+2 touches the hyperola 4x^(2)-9y^(2)=36 then m=

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  20. Equations of tangents to the hyperbola 4x^(2)-3y^(2)=24 which makes an...

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