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The complex numbers z = x+ iy which satisfy the equation   lie on (1981 - 2 Marks)
  • a)
    the x-axis
  • b)
    the straight line y = 5
  • c)
    a circle passing through the origin
  • d)
    none of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The complex numbers z = x+ iy which satisfy the equation lie on (1981...
ATQ | x + iy – 5i | = | x + iy + 5i |
⇒ | x + (y – 5) i | = | x + (y + 5) i |
⇒ x2 + (y – 5)2 = x2 + (y + 5)2
⇒ x2 + y2 – 10y + 25 = x2 + y2 + 10y + 25
⇒ 20y = 0  ⇒ y = 0
∴ ‘a’ is the correct alternative.
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The complex numbers z = x+ iy which satisfy the equation lie on (1981 - 2 Marks)a)the x-axisb)the straight line y = 5c)a circle passing through the origind)none of theseCorrect answer is option 'A'. Can you explain this answer?
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