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The vertex of a parabola is the point (a...

The vertex of a parabola is the point (a,b) and latusrectum is of length 1. If the axis of the parabola is along the positive direction of y-axis then its equation is

A

`(x+a)^(2)=(1)/(2)(2y-2b)`

B

`(x-a)^(2)=(l)/(2)(2y-2b)`

C

`(x+a)^(2)=(l)/(4)(2y-2b)`

D

`(x-a)^(2)=(l)/(2)(2y-2b)`

Text Solution

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A
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. The equation of parabola whose latus rectum is the line segment joini...

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  2. The equation of the parabola with latusrectum joining the points (6,7)...

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  3. The vertex of a parabola is the point (a,b) and latusrectum is of leng...

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  4. The equation of the parabola having the vertex (-1,-2) and whose axis ...

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  5. The focus of a parabola is (2,3) and the foot of the perpendicular fro...

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  6. The vertex of the parabola y^(2)+4x-2y+3=0 is

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  7. The vertex of the parabola x^(2)+8x+12y+4=0 is

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  8. The vertex of the parabola x^(2)+12x-9y=0 is

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  9. A parabola has the origin as its focus and the line x=2 as the directr...

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  10. If the focus is (1,-1) and the directrix is the line x+2y-9=0, the ver...

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  11. The locus of the vertices of the family of parabolas y = (a^(3)x^(2))/...

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  12. The focus of the parabola y^(2)-x-2y+2=0 is

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  13. The focus of the parabola y^(2)-4y-8x-4=0 is

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  14. The focus of the parabola x^(2)-2x-8y-23=0 is

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  15. The distance between the vertex and the focus of the parabola x^(2)-2x...

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  16. The two ends of latusrectum of a parabola are the points (3,6) and (-5...

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  17. If (2,0) is the vertex and y-axis is the directrix of a parabola then ...

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  18. The length of the latus rectum of the parabola y^(2) +8x-2y+17=0 is

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  19. The length of the latus rectum of the parabola 4y^(2)+12x-20y+67=0 is

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  20. The length of the latus rectum of the parabola x^(2)-4x+8y+28=0 is

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