Given that the complex Z satisfies Z (1 + I) = 2-I, then the corresponding point of Z in the complex plane lies in () A. First quadrant B. second quadrant C. third quadrant D. fourth quadrant

Given that the complex Z satisfies Z (1 + I) = 2-I, then the corresponding point of Z in the complex plane lies in () A. First quadrant B. second quadrant C. third quadrant D. fourth quadrant

∵ complex Z satisfies Z (1 + I) = 2-I, ∵ z = 2 − I1 + I = (2 − I) (1 − I) (1 + I) (1 − I) = 1 − 3i2 = 12-32i, and its corresponding point in the complex plane is (12, - 32), so D