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Question

For the parabola y2=4x, the point p whose focal distance is 17 is

A
(16,8) or (16,8)
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B
(8,8) or 8,8)
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C
(4,8) or (4,8)
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D
None of these
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Solution

The correct option is A (16,8) or (16,8)
Let P(x1,y1) be the point.
Since parabola is y2=4x,
4a=4a=1
Focal distance =17
x1+a=17x1+1=17x1=16
y21=4x1=4(16)=64
y1=±8
P is (16,8) or, (16,8)

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