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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 `l`. If the axis of the parabola is along the positive direction of y-axis, then its equation is :

A

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

B

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

C

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

D

`(x-a)^(2)=l/8(2 y-2b)`

Text Solution

Verified by Experts

The correct Answer is:
B
The equation of the referred to its vertex as the origin, axis along y-axis and latusrectum of length I is `x^(2)=Iy`
Now, shifting the vertex at (a, b), the above equation reduces to
`(x-a)^(2)=I(y-b)rArr(x-a)^(2)1/2(2y-ab)`
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