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The equation of the parabola with vert...

The equation of the parabola with vertex at origin and directrix the line y + 3 = 0 is

A

`y^(2) = 12 x`

B

` y^(2) = - 12 y `

C

` x^(2) = 12 y`

D

` x^(2) = - 12 y`

Text Solution

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The correct Answer is:
C
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ICSE-CONIC SECTIONS -Multiple Choice Questions
  1. If a parabola has the origin as its focus and the line x = 2 as the ...

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  2. The equation of the parabola with vertex at origin and directrix th...

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  3. The equation of parabola with focus at (-3,0) and directrix x +3 = ...

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  4. The equation of parabola through (-1,3) and symmetric with respect t...

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  5. The area of the triangle formed by the lines joining the vertex of ...

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  6. If the parabola y^(2) = 4ax passes through the point (3,2) , then ...

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  7. In the parabola y^(2) = 4ax, the length of the chord passing through t...

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  8. The number of parabolas that can be drawn , if two ends of the latus ...

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  9. If P is the point (1,0) and Q is any point on the parabola y^(2) = 8...

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  10. The vertex of the parabola y^(2) + 8x - 2y + 17 = 0 is (i) (1,-2) (...

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  11. The length of latus - rectum of the parabola x^(2) - 4x + 8y + 12 = 0...

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  12. The equation of the parabola with focus (0,0) and directrix x + y - ...

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  13. The focus of the parabola y^(2) - x - 2y + 2 = 0 is (i) ((5)/( 4), ...

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  14. The equation of the directrix of the parabola x^(2) - 4x - 8y + 12 = ...

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  15. The equation x = t^(2) + 1 and y = 2t + 1, where t is any real number,...

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  16. If the latus rectum of an ellipse is equal to half of minor axis, t...

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  17. If the eccentricity of and ellipse is (5)/(8) and the distance betw...

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  18. The equation of ellipse whose foci are (pm 3, 0) and length of semi-ma...

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  19. The equation of ellipse whose vertices are (pm 5, 0) and foci are (...

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  20. The length of latus rectum of the ellipse 3x^(2) + y^(2) = 12 is (i)...

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