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Question

Let A={(x,y):y24x,y2x4}. The area (in square units) of the region A is :

A
8
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B
9
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C
10
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D
11
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Solution

The correct option is B 9
Point of intersection of parabola and line are (1,-2) and (4,4)
Required area =42(x1x2)dy=42y24dy4212(y+4)dy
=[y312]4212[y22+4y]42
=615=9
Area = 9 sq.units
105533_100069_ans_036e35b98f144ab79a8c0f8bb26d125a.png

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