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Class 12 Applications Of Integrals · Mcq Single Correct1 Marksareas_between_curves

Class 12 Maths · Applications Of Integrals · Mcq Single Correct #34

Find the area enclosed by y²=x and x=2y.
Region between x=y² and x=2y
Region between x=y² and x=2y

✅ Step-by-Step Solution

Final Answer: Option (A): 4/3 square units
  1. Intersections satisfy y²=2y, so y=0,2. Horizontal widths are 2y−y², and ∫₀²(2y−y²)dy=4/3.

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