BITSAT2021MathematicsComplex NumberActual
If z₁= 2 [ 4 +i 4 ] and z₂= 3 [ 3 +i 3 ] then |z₁ z₂ | is equal to m . Value of m is
Options
- A6
- B3
- C2
- D5
Correct answer
A. 6
Step-by-step solution
z₁= 2 [ 4 +i 4 ]= 2 [ 1 2 +i 1 2 ]=1+i |z₁ |= 2 and z₂= 3 [ 3 +i 3 ]= 3 [ 1 2 +i 3 2 ] |z₂ |= 3 4 + 9 4 = 3 |z₁ z₂ |= |z₁ | |z₂ |= 2 3 =6