The trajectory of a particle is as shown here and its trajectory follows the equation \( y=(x-1)...
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The trajectory of a particle is as shown here and its trajectory follows the equation \( y=(x-1)^{3}+1 \). Find co-ordinates of the point \( A \) on the curve such that direction of instantaneous velocity at \( A \) is same as direction of average velocity for the motion \( O \) to \( A \) :
(a) \( (3 / 2,9 / 8) \)
(b) \( (2,2) \)
(c) \( (3,9) \)
(d) \( (5 / 2,35 / 8) \)
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