The area (in sq. units) bounded by the curve y=√x,2y−x+3=0,x-axis, and lying in first quadrant is :
A
9
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B
36
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C
18
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D
274
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Solution
The correct option is A9 2y−x+3=0...(1) y=√x⇒y2=x put in equation (1) ⇒2y−y2+3=0 ⇒(y+1)(y−3)=0 ⇒y=−1,y=3 ∴x=y2=9 Let's draw the graph Area of shaded region =9∫0√xdx−area of △ABC =23[x3/2]90−12×3×6 =9 sq. units