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Question

The focal distance of a point on the parabola y2=16x whose ordinate is twice the abscissa, is

A
6
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B
8
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C
10
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D
12
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Solution

The correct option is B 8
Let point be (h, k). But 2h = k, then k2=16h
4h2=16hh=0,h=4k=0,k=8
Points are (0,0), (4,8).
Focal distance of any point (x,y) on the parabola y2=4ax is given by x+a.

Hence focal distances are 0 + a = 4, and 4 + 4 = 8

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