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JEE Advance - Mathematics (1980 - No. 7)

Find the real values of x and y for which the following equation is satisfied $$\,{{(1 + i)x - 2i} \over {3 + i}} + {{(2 + 3i)y + i} \over {3 - i}} = i$$
x = 1, y = 1
x = -1, y = -1
x = 3, y = -1
x = -3, y = 1
x = 0, y = 0

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