NTA Abhyas JEE Main2020MathematicsComplex NumberPractice
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)
Options
- Apoint of intersection of A B and C O
- Bpoint of intersection of A C and B O
- Cpoint of intersection of C B and A O
- DMean of O , A , B , C
Correct answer
C. point of intersection of C B and A O
Step-by-step solution
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 .