The area bounded by the curve y= x, the line 2y+3=x and the x-axis in the first quadrant is

JEE Advanced Mathematics question

The area bounded by the curve , the line and the -axis in the first quadrant is

Answer: (A)

*(Figure: and the line , which cuts the -axis at ; they meet at . Shaded region: under from to , minus the triangle under the line from to .)*

Intersection: . Squaring, 3)^2$⇒

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Question ID VK-109588