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Area of the region bounded by the curve y^{2}=4x,\: \: y -axis  and the line y=3 is 

  • Option 1)

    2

  • Option 2)

    9/4

  • Option 3)

    9/3

  • Option 4)

    9/2

 

Answers (1)

best_answer

from fig \int_{0}^{3}xdy=\int_{0}^{3}\frac{y^{2}}{4}dy=\left [ \frac{y^{3}}{12} \right ]_{0}^{3}

\frac{27}{12}=\frac{9}{4}


Option 1)

2

This solution is incorrect 

Option 2)

9/4

This solution is correct 

Option 3)

9/3

This solution is incorrect 

Option 4)

9/2

This solution is incorrect 

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