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Question

The area of the region (in square units) bounded by the curve x2 = 4y, line x = 2 and x-axis is
(a) 1
(b) 2/3
(c) 4/3
(d) 8/3

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Solution

(b) 2/3



Point of intersection of the parabola x2 = 4y and straight line x = 2 is given by
x2=4y and x=24=4yy=1A2, 1 is the point of intersection of the curve and straight lineArea of shaded region OAB=02y dx =02x24 dx =x31202 =2312 -0 =23 square units

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