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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