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Let R be the region containing the point (x, y) on the X-Y plane, satisfying `2le|x+3y|+|x-y|le4.` Then the area of this region is

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Let R be the region containing the point (x, y) on the X-Y plane, satisfying `2le|x+3y|+|x-y|le4.` Then the area of this region is
A. 5 sq. units
B. 6 sq. units
C. 7 sq. units
D. 8 sq. units
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Correct Answer - B
The region is enclosed between two parallelograms of area `4xx2 and 2xx1`
The area `=8-2=6.`
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