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CAT 2017 Slot 1 QA Question & Solution

GeometryMedium

Question

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

Options

$4\pi$ sq. units
4 sq. units
8 sq. units
$2\pi$ sq. units

Solution

The following equation will form a square of side $2\sqrt{2}$.

The area of the square = $(2\sqrt{2})^2$ = 8 units.

Question Figure