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A parametric curve defined by $x= \cos \left ( \dfrac{\Pi u}{2} \right ), y= \sin \left ( \dfrac{\Pi u}{2} \right )$ in the range $0 \leq u \leq 1$ is rotated about the $X$-axis by $360$ degrees. Area of the surface generated is 

  1. $\dfrac{\Pi }{2} \\$
  2. $\pi \\$
  3. $2 \pi \\$
  4. $4 \pi$
in Calculus recategorized by
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