Practicing Success
Practicing Success
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The area of the region consisting of points (x, y) satisfying $|x \pm y| \leq 2$ and $x^2+y^2 \geq 2$ is
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$8-2 \pi$ sq. units $4-2 \pi$ sq. units $1-2 \pi$ sq. units $2 \pi$ sq. units |
$8-2 \pi$ sq. units |
Shaded region is the required one. ∴ Required Area = $4 \times \frac{1}{2} \times 2 \times 2-\pi .2=8-2 \pi$ sq. units |
