AP EAMCET · Maths · Complex Number
If , where is a complex number, then locus of is a straight line
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
Given |z-2|=|z-1| On squaring both sides, we get z-2z¯-2=z-1z¯-1 ⇒zz¯-2z¯-2z+4=zz¯-z¯-z+1 ⇒z¯+z=3 Now, putting z=x+iy, we get x+iy+x-iy=3 ⇒x=32 Hence, locus of z is a straight line parallel to y-axis
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