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If tangent tto the curve x=at^(2),y=2at ...

If tangent tto the curve `x=at^(2),y=2at` is perpendicular to X-axis, then its pointt of contact is

A

(a,a)

B

(0,a)

C

(0,0)

D

(a,0)

Text Solution

Verified by Experts

The correct Answer is:
C
Given, `x=at^(2) and y=2at`
`therefore(dx)/(dt)=2at` and `(dy)/(dt)=2a`
`therefore` Slope of tangent, `((dy)/(dx))=(2a)/(2at)=(1)/(t)`
`implies(1)/(t)=oo impliest=0` [given]
`therefore` Point of contact is (0,0)
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