EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 13 - Complex Numbers>TS EAMCET 2021 (04-Aug Shift-2)>Q 20

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If $\omega$ represents a cube root of unity and $\sum_{k = 1}^{n} (k + \frac{1}{ω}) (k + \frac{1}{ω^{2}}) = 340$ , then $n =$

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Important Questions on Complex Numbers

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 13 - Complex Numbers>TS EAMCET - 5 August 2021 Shift 2>Q 21

If

α, β

are the roots of the equation

1 + x + x^{2} = 0,

then

(2 - α) (2 - β) (2 - α^{10}) (2 - α^{20}) =

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 13 - Complex Numbers>TS EAMCET 2018 (04-May Shift-1)>Q 22

Z

is a complex number such that

|Z| \leq 2

and

- \frac{π}{3} \leq amp Z \leq \frac{π}{3}

. The area of the region formed by locus of

Z

is (in sq. units)

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 13 - Complex Numbers>TS EAMCET 2018 (04-May Shift-1)>Q 23

The points in the Argand plane given by

Z_{1} = - 3 + 5 i, Z_{2} = - 1 + 6 i, Z_{3} = - 2 + 8 i, Z_{4} = - 4 + 7 i

form a