CAT 2017 Coordinate Geometry Question (Medium)

Question

The area of the closed region bounded by the equation x y 2 in the two-dimensional plane is

Accepted Answer

Step 1 Understand the equation The equation is This represents a square a rhombus centered at origin with vertices on the axes. Step 2 Break into cases There are 4 linear regions based on sign of x and y - Quadrant I - Quadrant II - Quadrant III - Quadrant IV These intersect to form a square with ve

CAT 2017

Quantitative

Coordinate Geometry

Medium

The area of the closed region bounded by the equation | x | + | y | = 2 in the two-dimensional plane is

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