If x - 1 3 + i + y - 1 3 - i = i then the true statement among the following is

Question

If x - 1 3 + i + y - 1 3 - i = i then the true statement among the following is, x 0 , y 0, x 0 , y > 0, x > 0 , y 0, x > 0 , y 0

MARKS App · Accepted Answer

x - 1 3 + i + y - 1 3 - i = i ⇒ x - 1 3 - i + y - 1 3 + i = i 3 + i 3 - i ⇒ 3 x - 3 - i x + i + 3 y - 3 + i y - i = 10 i ⇒ 3 x + 3 y - 6 - i x + i y = 10 i ⇒ y - x = 10 & x + y - 2 = 0 i.e. x = - 4 , y = 6

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