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Question

The area bounded by y=−|x|+3, x=0, y=0 and x=2, is

A
72 sq. units
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B
4 sq. units
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C
112 sq. units
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D
6 sq. units
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Solution

The correct option is B 4 sq. units
We get y=|x| by inverting the graph y=|x| with respect to x axis.



For y=|x|+3, we move the curve up by 3 units.


From the graph we can see that,
x=2 intersects y=|x|+3 at point (2,1).

Required area = Area of trapezium
= 12×(3+1)×2 =4 sq. units

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