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NDA2021MathematicsComplex NumberActual

Consider the following statements in respect of the roots of the equation x^3-8=0 : 1. The roots are non-collinear. 2. The roots lie on a circle of unit radius. Which of the above statements is/are correct?

Options

  1. A1 only
  2. B2 only
  3. CBoth 1 and 2
  4. DNeither 1 nor 2

Correct answer

A. 1 only

Step-by-step solution

aligned & x^3-8=0 & (x-2) (x^2+2 x+4 )=0 & x=2,-1+ 3 i,-1- 3 i aligned So, roots non-collinear and lie on a circle of radius 2 units.

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