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The eccentricity of the parabola y^2=8xi...

The eccentricity of the parabola `y^2=8x`is _____.

A

2

B

8

C

0

D

1

Text Solution

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The correct Answer is:
D
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The eccentricity of the parabola 4x^2-3y^2=1 is _____.

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

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

The equation of the directrix to the parabola x^2=-6y is _____.

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

The line y+x=k is tangent to the parabola y^2+12x=0 if k=______.

Write the differential equation of the parabola y^2 = 4x + 10 .

Find the coordinates of a point on the parabola y^2 = 8x which is at minimum distance from the circle x^2 + (y + 6)^2 =1

MBD PUBLICATION-CONIC SECTIONS-QUESTION BANK
  1. Prove that on pair of concentric circles can have a radical axis.

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  2. The equation of the directrix to the parabola x^2=-6yis .

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  3. The eccentricity of the parabola y^2=8xis .

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  4. The line y+x=k is tangent to the parabola y^2+12x=0 if k=.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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