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The line y=3x-k is a tangent to the hype...

The line y=3x-k is a tangent to the hyperbola `6x^2-9y^2=1` if k=_____.

A

1

B

5/`3sqrt2`

C

1/`sqrt6`

D

2/3

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The correct Answer is:
B
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MBD PUBLICATION-CONIC SECTIONS-QUESTION BANK
  1. The eccentricity of the parabola 4x^2-3y^2=1 is .

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  2. The latus rectum of the hyperbola x^2/9-y^2/16=1 is .

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  3. The line y=3x-k is a tangent to the hyperbola 6x^2-9y^2=1 if k=.

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  4. The equation y=x^2+2x+3 represent a parabola with its axis parallel to...

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  5. The latus rectum of the parabola y^2=-8x is 2.

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  6. The eccentricity of the parabola (y-1)^2=2(x+3)^2 is 1/3.

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  7. The line y=3 is a tangent to the parabola (x+2)^2=6(y-3).

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  8. The equation Ax^2+By^2 =1 represent an ellipse with its axis parallel ...

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  9. The focii of the ellipse x^2/3+y^2/2=1 are the points (+-1,0).

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  10. The equation of the ellipse with focii(0 , +-4) and vertices (0,+-7) i...

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  11. Mention the statement true or False. The length of the latera recta o...

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  12. Mention the statement true or False. The length of the latera recta of...

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  13. The line y=x+2 is a tangent to the ellipse x^2/2+y^2/1=1

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  14. The conjugate axis of the hyperbola x^2/a^2+y^2/b^2=1 meets the hyperb...

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  15. The conjugate axis of the hyperbola (y-3)^2/9+(x+2)^2/3=1 is parallel ...

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  16. The length of the transverse axis of the hyperbola with focii at (+-5,...

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  17. The latus rectum of the ellipse x^2/25-y^2/16=1 are same .

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  18. The y-axis is tangent to the hyperbola ay^2-bx^2=1.

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  19. Find the equation of the parabola in each of the following cases: at t...

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  20. Find the equation of the parabola in each of the following cases: the ...

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