The area (in sq. units) of the region consisting of the points $x, y$ on $X - Y$ plane which satisfy
$| x | \leq 1 + | y |$ and $| y | \leq 1$ is

4

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6

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8

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12

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Solution

The correct option is B $6$

The dark area in the figure is the required area.
So,required area= $4 \times 2 - 2 \times (\frac{1}{2} \times 2 \times 1) = 6$ sq.units

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Similar questions

The number of pairs (x,y) satisfying the equation $s i n x + s i n y = s i n (x + y)$ , $| x | + | y | = 1$ is

y = | x |

y = - | x | + 2

\frac{3}{2}

A = {(x, y) : 0 \leq y \leq x | x | + 1 and - 1 \leq x \leq 1}

x = - 1, y = 0, y = x^{2} + x + 1

y = x^{2} + x + 1

A (1, 3)

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