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At any two points of the curve represent...

At any two points of the curve represented parametrically by `x=a (2 cos t- cos 2t);y = a (2 sin t - sin 2t)` the tangents are parallel to the axis of x corresponding to the values of the parameter t differing from each other by :

A

`2pi//3`

B

`3pi//4`

C

`pi//2`

D

`pi//3`

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The correct Answer is:
A
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