TS EAMCET · Maths · Complex Number
If , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
Given: 3+i3-im=1 ⇒3+i3-i×3+i3+im=1 ⇒14m3-1+23im=1 ⇒ 2m22m1+3im=1 ⇒12+i32m=1 ⇒cosπ3+isinπ3m=1 ⇒ cosmπ3+isinmπ3=1 So, cosmπ3=1 ⇒ mπ3=2nπ; n∈Z ⇒ m=6n So, m…
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