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A particle moves along the cirve x^(2)+4...

A particle moves along the cirve `x^(2)+4=y`. The points on the curve at which the y coordinates changes twice as fast as the x coordinate, is

A

`(1, 5)`

B

`(5, 1)`

C

`(1, 2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`x^(2)+4=yrArr 2xdx=dy` but `dy=2dx`
So `2xdx=2dxrArr 2x=2 rArr x=1 rArr y=1^(2)+4=5`
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