Maths-

General

Easy

Question

# The area of the region bounded by y=|x-1| and y=1 in sq. units is

- 1
- 1/2
- 2
- 3

Hint:

### We are given an area bounded by y =|x-1| and y = 1

## The correct answer is: 1

### From the diagram we can see that, the area bounded is a triangle.

We will use the formula of area of triangle to find the area.

Area = × base × height

The height of a triangle is the perpendicular distance from the vertex.

From the figure, the vertical distance is 1-0 = 1

The base of a triangle is the side from which we measure the height. Height and base of the triangle are perpendicular to each other.

From the figure, the base is 2-0 = 2

So, the area = × base × height

= ×2 × 1

= 1sq.units.

The area bounded is 1sq. units.

For such questions, we should know area of different shapes.

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