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A unit tangent vector at t=2 on the curv...

A unit tangent vector at t=2 on the curve `x=t^(2)+2, y=4t-5` and `z=2t^(2)-6t` is

A

`1/sqrt(3) (hati + hatj + hatk)`

B

`1/3(2hati + 2hatj + hatk)`

C

`1/sqrt(6)(2hati + 2hatj + 2hatk)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • If the tangent to the curve x = t^(2) - 1, y = t^(2) - t is parallel to x-axis , then

    A
    t = 0
    B
    t = 2
    C
    ` t = (1)/(2)`
    D
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