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4.1 complex nubers — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHS4.1 complex nubers1 Mark
MCQ
If $|z| = 2$, then the points representing the complex numbers $ - 1 + 5z$ will lie on a
  • ✓
    Circle
  • B
    Straight line
  • C
    Parabola
  • D
    None of these
✓

Answer

Correct option: A.
Circle
a
(a) Let $\omega = - 1 + 5z$, then $\omega + 1 = 5z$
$ \Rightarrow \,|\omega + 1| = 5|z| = 5 \times 2 = 10$ ($\because \,\,\,|z| = 2$given value)
Thus $\omega $ lies on a circle.

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