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Let the equation of a curve be x=a(theta...

Let the equation of a curve be `x=a(theta+sin theta),y=a(1-cos theta)`. If `theta` changes at a constant rate k then the rate of change of the slope of the tangent to the curve at `theta=pi/3` is (a) `(2k)/sqrt3` (b) `k/sqrt3` (c) k (d) none of these

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