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

  • Option 1)

    3 sq. units

  • Option 2)

    4 sq. units

  • Option 3)

    6 sq. units

  • Option 4)

    2 sq. units

 

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