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A curve is represented parametrically by...

A curve is represented parametrically by the equations `x = e^t cos t and y = e^t sin t` where t is a parameter. Then The relation between the parameter 't' and the angle a between the tangent to the given curve andthe x-axis is given by, 't' equals

A

`(pi)/(2)-alpha`

B

`(pi)/(4)+alpha`

C

`alpha-(pi)/(4)`

D

`(pi)/(4)-alpha`

Text Solution

Verified by Experts

The correct Answer is:
C
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