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The equation of tangent to the parabola ...

The equation of tangent to the parabola `x^2=6y` at vertex is ______.

A

x=0

B

y=0

C

x=-3/2

D

y=-3/2

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The correct Answer is:
B
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MBD PUBLICATION-CONIC SECTIONS-QUESTION BANK
  1. The line y+x=k is tangent to the parabola y^2+12x=0 if k=.

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  2. The latus rectum of the parabola (y-2)^2=8(x+3) is .

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  3. The equation of tangent to the parabola x^2=6y at vertex is .

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  4. The equation of axis of the ellipse x^2/16+y^2/9=1 is .

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  5. The equation of the major axis of ellipse (x+1)^2/16+(y-2)^2/9=1 is .

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  6. The distance between the focii of the ellipse 3x^2+4y^2=1 is .

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  7. The ecentricity of the ellipse x^2/16+y^2/25=1 is .

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  8. The line y=2x+k is a tangent to the ellipse 5x^2+y^2=5 if k =.

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  9. The length of the latus rectum of the ellipse (x-2)^2/4+(y+3)^2/25=1 i...

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  10. The equation of the conjugate axis of the hyperbola x^2/9-(y+2)^2/16=1...

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  11. The hyperbola y^2/16-x^2/12=1 intersects x-axis at .

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  12. The eccentricity of the parabola 4x^2-3y^2=1 is .

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

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

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

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

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

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

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

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

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