See image — AITS & Test Series Chemistry Question

💡 Solution & Explanation

From given relation 2 2 2 z w arg 2 z w            locus of z is semi-circle whose diameter ends are 1 3 w i 2 2   and 2 1 3 W i 2 2    centre is 1,0 2        and radius 3 2  A z2 B C D (0, 2) O w2 3 r 2  1,0 2        1 3 w , 2 2               2 max max 2 2 2 max 1 3 1 3 2 2 3 z OA z 2 2 2 2 z 1 i z 1 i z 1 i z 1 i z 1 i 3 1 17 3 z 2i BD 4 2 4 2                          