Question
If z_ 1 = 2 [ 4 +i 4 ] and z_ 2 = 3 [ 3 +i 3 ] then |z_ 1 z_ 2 | is equal to m . Value of m is
BITSAT
Mathematics
Complex Number
2021
BITSAT 2021
BITSAT Mathematics Question (2021) — Solution
Options
- A. 6
- B. 3
- C. 2
- D. 5
Answer
A. 6
Step-by-step solution
z_ 1 = 2 [ 4 +i 4 ]= 2 [ 1 2 +i 1 2 ]=1+i |z_ 1 |= 2 and z_ 2 = 3 [ 3 +i 3 ]= 3 [ 1 2 +i 3 2 ] |z_ 2 |= 3 4 + 9 4 = 3 |z_ 1 z_ 2 |= |z_ 1 | |z_ 2 |= 2 3 =6
Related: Mathematics — Complex Number · All PYQ Banks