If i 2 = - 1 , then for a complex number Z the minimum value of Z + Z - 3 + Z + i + Z - 3 - 2 i occurs at

Step-by-step solution

The minimum value of Z + Z - 3 occurs at points on the line segment joining O and A Similarly, the minimum value of Z + i + Z - 3 - 2 i occurs at a point on the line segment joining B and C . ⇒ Minimum value of Z + Z - 3 + Z + i + Z - 3 - 2 i occurs at a point on the intersection of O A and B C Hence, the minimum value occurs at Z = 1