Q.

The equation of the parabola having vertex at origin and focus at 3,0

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a

y2=24x

b

x2=12y

c

x2=-12y

d

y2=12x

answer is D.

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Detailed Solution

Given vertex is at origin, and the focus is 23,0Since the vertex of the parabola is 0,0 and the focus lies on the positive x - axis. the x- axis is the axis of the parabola while the  equation of  the parabola is of the form y2=4ax since the focus is 3,0, a=3Therefore, the equation of the parabola is y2=12x
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The equation of the parabola having vertex at origin and focus at 3,0