JEE Advanced 2014 Paper 1 Mathematics Q19

Mathematics

Problem

For a point PP in the plane, let d1(P)d_1(P) and d2(P)d_2(P) be the distances of the point PP from the lines x−y=0x-y=0 and x+y=0x+y=0 respectively. The area of the region RR consisting of all points PP lying in the first quadrant of the plane and satisfying 2≤d1(P)+d2(P)≤42\leq d_1(P)+d_2(P)\leq4, is

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