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The focal distance of a point on the par...

The focal distance of a point on the parabola `y^2= 16x` whose ordinate is twice the abscis is

A

6

B

8

C

10

D

12

Text Solution

Verified by Experts

The correct Answer is:
B
Given cure is `y^(3)=16x`. Let the point be (h,k).
But `2h=k`, then `k^(2)=16h`
`rArr 4h^(2)=16 h`
`rArr h=0,h=4`
`rArr k=0, k=8`
`:.` Points are (0,0),(4,8)
Hence, focal distance are respectively
`0+4=4,4+4=8 ( :.` focal distance `h=-a)`
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