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CAT 2019 Slot 1 QA Question & Solution

AlgebraMedium

Question

Let S be the set of all points (x, y) in the x-y plane such that $\mid x \mid + \mid y \mid \leq 2$ and $\mid x \mid \geq 1.$ Then, the area, in square units, of the region represented by S equals

Solution

Question Figure

Sum of the area of region I and II is the required area.

Question Figure

Now, required area =  $\ 4\times\frac{\ 1}{2}\times\ 1\times\ 1$ = 2