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CGPET 2019 Solved Paper

Section: Mathematics

Question : 142 of 150

Marks: +1, -0

(x)+(y)=1

Solution:

Assuming,

|x|+|y|=1

The straight lines are

x+y=1, x-y=1,-x-y=1,-x+y=1

Which form a square withe each side

=\sqrt{(1-0)^{2}+(0-1)^{2}}

=\sqrt{1+1}=\sqrt{2}

Or form four equal right isosceles triangle with each equal side 1 unit.

So, each triangle's area

=\frac{1}{2} \cdot 1 \cdot 1 = \frac{1}{2}

sq. unit

Therefore, required area

=\frac{1}{2} \times 4 = 2 \text{sq}

. unit.

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