Q.

The equation of the parabola having focus at 6,0 and directrix at x=-6

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a

y2=24x

b

y2=12x

c

x2=24y

d

x2=12y

answer is A.

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Detailed Solution

Given focus 6,0, directrix x=-6Since the foucs lies on x- axis, it is the axis of parabolaThe directrix lies in the left side of the y - axisHence, the prabola is in the standard form as y2=4axAnd distance between focus and directrix is 2a,  Here 2a= 12 Hence a=6Therefore, the equatioon of the parabpla is y2=24x
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