CAT 2019 Geometry & Mensuration Question (Medium)

Question

Let S be the set of all points x,y in the x-y plane such that x y 2 and x 1. Then, the area, in square units, of the region represented by S equals TITA

Accepted Answer

Step 1 The inequality x y 2 represents a square rhombus centered at the origin, with diagonals aligned along the x and y axes. This region is bounded by the lines x y 2, x y 2, x y 2, and x y 2 It forms a square of area 4 square units. Step 2 Now, add the condition x 1 This means only those parts of

CAT 2019

Quantitative

Geometry & Mensuration

Medium

Let S be the set of all points (x,y) in the x-y plane such that |x| + |y| ≤ 2 and |x| ≥ 1. Then, the area, in square units, of the region represented by S equals [TITA]

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