The area of the region bounded by the curves  y=\left | x-2 \right |,x=1,x=3\; \; and\; the\; x\! -\! axis\; \: is

  • Option 1)

    3

  • Option 2)

    2

  • Option 3)

    1

  • Option 4)

    4

 

Answers (1)

As we learnt in 

Introduction of area under the curve -

The area between the curve y= f(x),x axis and two ordinates at the point  x=a\, and \,x= b\left ( b>a \right ) is given by

A= \int_{a}^{b}f(x)dx=\int_{a}^{b}ydx

- wherein

 

We have two triangles

Area= 2 x 1/2 x 1 x 1 = 1 sq units. 


Option 1)

3

This is incorrect option

Option 2)

2

This is incorrect option

Option 3)

1

This is correct option

Option 4)

4

This is incorrect option

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