JEE Advanced 2020 Mathematics question

MathematicsComplex NumbersJEE Advanced 2020

Let be the set of all complex numbers satisfying . Then which of the following statements is/are TRUE?

Answer: (B),(C)

Solution

Put ; then and the condition is . By the triangle inequality, : (C) TRUE. (A) is FALSE: e.g. gives i^2$+i+1| =

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Question ID VK-033776