Solveeit Logo

Question

Question: Area enclosed by the curve \|x - 2\| + \|y + 1\| = 1 is equal to...

Area enclosed by the curve |x - 2| + |y + 1| = 1 is equal to

A

4 sq. units

B

6 sq. units

C

2 sq. units

D

8 sq. units

Answer

2 sq. units

Explanation

Solution

After shifting the origin at the point (2,-1) the equation of curve becomes, |x| + |y| = 1. This curve will represent a square as shown in the

Area of this square is clearly equal to 4 times the area of triangle OAB. That is equal to 2 sq. units.