CAT 2019 Shift 1 Paper

Question : 89 of 100

Marks: +1, -0

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

Your Answer:

Validate

Solution:

The below figure shows the graph of both the expressions.

The required area

=4 ×

the area of red triangle.
Area of red triangle

=\;{1}/{2} × 1 × 1=\;{1}/{2}

sq. units
Therefore, the required area

=4 × \;{1}/{2}=2

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