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The complex numbers z = x + iy which satisfy the equation  = 1 lie on
  • a)
    the straight line y = 3
  • b)
    the x-axis
  • c)
    a circle passing through the origin
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The complex numbers z = x + iy which satisfy the equation = 1 lie ona)...
∣z−5i∣/∣z+5i| = 1
 ∣z−5i∣=∣z+5i| (Using definition ∣z−z1∣=∣z−z2∣ given Perpendicular bisector of z1 and z2.)
⇒ Perpendicular bisector of points (0,5) and (0,−5). which lies on x-axis.
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The complex numbers z = x + iy which satisfy the equation = 1 lie ona)the straight line y = 3b)the x-axisc)a circle passing through the origind)None of theseCorrect answer is option 'B'. Can you explain this answer?
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