The area of the closed region bounded by the equation | x | + | y | = 2 in the two-dimensional plane is
Explanation:
The closed region bounded by |ax| + |by| = c in the two-dimensional plane has x-intercepts of ± c|a| and y-intercepts of ± c|b|. This is in general a rhombus. In the given question, we have a square which has each of its diagonals as 4.
Area = 1/2 × 4 × 4 = 8.
Hence, option (c).
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.