TS EAMCET · Maths · Complex Number
If the amplitude of is , then the locus of is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
Amplitude of (z-1-2i) is π3 (x+iy-2i-1) =(x-1)+i(y-2) Now tanπ3=y-2x-1 ⇒3=±y-2x-1 ⇒3x-3=y-2 3x+(2-3)=y …i and 3=-y-2x-1 3x-3=-y+2 y+3x-2+3=0 …ii
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