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MHT CET202123 Sep 2021Evening ShiftMathematicsComplex NumberActual

If z = x + iy satisfies the condition | z +1|=1 , then z lies on the

Options

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

Correct answer

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

Step-by-step solution

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

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