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?

NDA 2021 Mathematics question

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

(A)1 onlyCorrect
(B)2 only
(C)Both 1 and 2
(D)Neither 1 nor 2

Answer: (A)

Solution

gives , i.e. , and . In the Argand plane these are the points , and . Statement 1: these points are the vertices of an

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Question ID VK-033645