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The equation of the hyperbola whose dire...

The equation of the hyperbola whose directrix is `2x+y=1,` focus `(1,1)` and eccentricity `=sqrt3,` is

A

`7x ^(2) + 12xy -2y ^(3) -2x + 4y -7 =0`

B

`11x^(2)+12 xy + 2y ^(2) -10 x-4y =0`

C

`11 x ^(2) +2y ^(2) -14x -14 y +1=0`

D

`7x ^(2) + 10 xy -2y ^(2) -2x + 4y -7=0`

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The correct Answer is:
A
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TARGET PUBLICATION-CIRCLE AND CONICS -CRITICAL THINKING
  1. The co-ordinates of the foci of the ellipse 3x ^(2) + 4y ^(2) -12 x -8...

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  2. The eccentricity of the ellipse 4x^2=9y^2=8x+36 y+4=0 is 5/6 b. 3/5 c....

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  3. An ellipse is described by using an endless string which is passed ove...

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  4. The length of the transverse axis of a hyperbola is 7 and it passes th...

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  5. If the centre, vertex and focus of a hyperbola be (0,0), (4,0) and (6,...

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  6. Equation of the hyperbola with eccentricity 3/2 and foci at (±2,0) is

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

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  8. Find the equation of the hyperbola whose conjugate axis is 5 and th...

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

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  10. The equation of the hyperbola whose foci are (6.5), (-4,5) and eccentr...

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  11. The equation of the hyperbola whose directrix is 2x+y=1, focus (1,1) a...

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  12. If e and e' be the eccentricities of two conics S=0 and S'=0 and if e^...

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  13. The vertices of the hyperbola 9x^(2)-16y^(2)-36x+96y-252=0 are

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  14. The equation of the directrices of the conic x ^(2)+ 2x - y ^(2) + 5=0...

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  15. The latus rectum of the hyperbola 9x ^(2) -16 y^(2) + 72x - 32y-16=0 i...

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  16. The locus of the point of intersection of the lines axsectheta+bytanth...

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  17. The equation x =1/2 (t+ (1)/(t)), y = 1/2 (t - 1/t), t ne 0 represent...

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  18. The locus of the point of intersection of the linesbxy -a yt = ab and ...

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  19. If e and e' are the eccentricities of the ellipse 5x^(2) + 9 y^(2) = ...

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  20. The centres of the circles x ^(2) + y ^(2) =1, x ^(2) + y^(2)+ 6x - 2y...

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