Let O = 0,0 , A = 3,0 , B = 0 , - 1 and C = 3,2 , then the minimum value of z + z - 3 + z + i + z - 3 - 2 i occurs at the (where, z is a complex number)

Question

Let O = 0,0 , A = 3,0 , B = 0 , - 1 and C = 3,2 , then the minimum value of z + z - 3 + z + i + z - 3 - 2 i occurs at the (where, z is a complex number), point of intersection of A B and C O, point of intersection of A C and B O, point of intersection of C B and A O, Mean of O , A , B , C

MARKS App · Accepted Answer

The minimum value of z + z - 3 occurs at points on the line segment joining O & A Similarly, the minimum value of z + i + z - 3 - 2 i occurs at points on the line segment joining B & C . ⇒ The minimum value of z + z - 3 + z + i + z - 3 - 2 i occurs at point of intersection of O A & B C .

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