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MHT CET202415 May 2024Evening ShiftMathematicsComplex NumberActual

If the complex number z =x+ i y , where i = -1 , satisfies the condition |z+1|=1 , then z lies on

Options

  1. AX -axis.
  2. Bcircle with centre (1,0) and radius 1 unit.
  3. Ccircle with centre (-1,0) and radius 1 unit.
  4. DY-axis.

Correct answer

C. circle with centre (-1,0) and radius 1 unit.

Step-by-step solution

aligned & | z +1|=1 & |x+ i y+1|=1 & (x+1)^2+y^2=(1)^2 & (x+1)^2+y^2=1 aligned This is an equation of circle with centre (-1,0) and radius 1 .

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