# The area of the region bounded by the curves  $\dpi{100} y=\left | x-2 \right |,x=1,x=3\; \; and\; the\; x\! -\! axis\; \: is$ Option 1) 3 Option 2) 2 Option 3) 1 Option 4) 4

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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