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For any integer `k ,` let `alpha_k=cos(kpi)/7+isin(kpi)/7,w h e r e i=sqrt(-1)dot` Value of the expression `(sumk=1 12|alpha_(k+1)-alpha_k|)/(sumk=1 3|alpha_(4k-1)-alpha_(4k-2)|)` is

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For any integer k , let alpha_k=cos((kpi)/7)+isin((kpi)/7),w h e r e i=sqrt(-1)dot Value of the expression (sum_(k=1)^(12)|alpha_(k+1)-alpha_k|)/(sum_(k=1)^3|alpha_(4k-1)-alpha_(4k-2)|) is

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ARIHANT MATHS ENGLISH-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
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  11. Let w = (sqrt 3/2 + iota/2) and P = { w^n : n = 1,2,3, ..... }, Furthe...

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  13. Express in the form of complex number (1-i)^4

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  14. If z is a complex number such that |z|geq2 , then the minimum value...

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  15. A complex number z is said to be unimodular if abs(z)=1. Suppose z(1) ...

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  16. Let omega ne 1 be a complex cube root of unity. If (3-3omega+2omega^(2...

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  17. For any integer k , let alphak=cos(kpi)/7+isin(kpi)/7,w h e r e i=sqrt...

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  18. A value of theta for which (2+3i sin theta)/(1-2i sintheta) purely ima...

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  19. Let 0 ne a, 0 ne b in R. Suppose S={z in C, z=1/(a+ibt)t in R, t ne ...

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  20. Let omega be a complex number such that 2omega+1=z where z=sqrt(-3). I...

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