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The length of the transverse axis of a h...

The length of the transverse axis of a hyperbola is `7` and it passes through the point `(5,-2).` The equation of the hyperbola is

A

`(4)/(49) x^(2) - (196)/(51) y^(2) = 1 `

B

`(49)/(4) x^(2) - (51)/(196) y^(2) = 1 `

C

`(4)/(49) x^(2) - (51)/(196) y^(2) = 1 `

D

none of these.

Text Solution

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The correct Answer is:
C
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MODERN PUBLICATION-CONIC SECTIONS -OBJECTIVE TYPE QUESTIONS (MULTIPLE CHOICE QUESTIONS )
  1. The eccentricity of the hyperbola whose latuscrectum is 8 and conjugat...

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  2. If the distance between the foci of a hyperbola is 16 and its eccen...

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

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

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  5. The equation of the chord joining the points (x(1) , y(1)) and (x(2), ...

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  6. The foci of the hyperbola (x^(2))/(16) -(y^(2))/(9) = 1 is :

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  7. Centre of the circle 2x^(2) + 2y^(2) -x = 0 is :

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  8. For the circle x^(2) + y^(2) = 25, the point (-2.5, 3.5) lies :

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  9. (i) Centre of the circle x^(2) + y^(2) - 8x + 10 y + 12 = 0 is Cen...

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  10. Length of the semi-latus -rectum of parabola : x^(2) = -16y is :

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  11. The focus of the parabola y^(2) = - 4ax is :

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  12. The length of latus-rectum of parabola x^(2) = - 16 y is :

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  13. The eccentricity of the ellipse (x^(2))/(a^(2)) +(y^(2))/(b^(2)) = 1 ...

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  14. If the slope of the line containg the point (2,5) and (x, - 4) is 3, t...

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  15. If the slope of a line is not defined then the line :

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  16. Eccentricity of the hyperbola x^(2) - y^(2) = a^(2) is :

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  17. The foci of the ellipse (x^(2))/(4) +(y^(2))/(25) = 1 are :

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  18. The co-ordinates of the foci of the ellipse 9x^(2) + 4y^(2) = 36 are ...

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

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  20. The equatio (x ^(2 ))/( 2 -r) + (y ^(2))/(r -5) +1=0 represents an ell...

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