Question
The modulus of (1+i 3 )(2+2 i) ( 3 -i) is
BITSAT
Mathematics
Complex Number
2023
BITSAT 2023 (Memory Based Paper 2)
BITSAT Mathematics Question (2023) — Solution
Options
- A. 2
- B. 4
- C. 3 2
- D. 2 2
Answer
D. 2 2
Step-by-step solution
aligned & (1+i 3 )(2+2 i) 3 -i = 2+2 3 i+2 i-2 3 3 -i \\ & = (2-2 3 )+(2 3 +2) i 3 -i 3 +i 3 +i \\ & = 2 3 -6+2 i-2 3 i+6 i+2 3 i-2 3 -2 3+1 \\ & = 8 i-8 4 =-2+2 i \\ & Modulus = (-2)^2+(2)^2 =2 2 aligned
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