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.