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A point P (x,y)moves in in xy plane in such a way that sqrt(2) le |x + y| + |x - y| le 3sqrt(2) . Area of region representing all possible position of point P is equal to: |
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Answer» `1le|X|+|Y|le3""("Rotation through an angle of "(PI)/(4))` `"Area "=4((1)/(2)xx3xx-(1)/(2)xx1xx1)` `=4[(9)/(2)-(1)/(2)]` `=16"(unit)"^(2)` |
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