COMPLEX NUMBERS | nth Root of Unity |JEE | 11 Maths | 4 PM Class By Pallavi Ma'am | L21 | Doubtnut

Let alpha be the non-real 5 th root of unity. If z_1 and z_2 are two complex numbers lying on |z| = 2 , then the value of sum_(t=0) ^(4) |z_1 + alpha ^(t)z_2 |^(2) is ______ .

Triangle - Inequality | cube root and nth roots of Unity | Roots of any Complex-Number Questions

if omega is the nth root of unity and Z_1 , Z_2 are any two complex numbers , then probe that . Sigma_(n-1)^(k=0)| z_1+ omega^k z_2|^2=n{|z_1|^2+|z_2|^2} where n in N

12 PM Special Class | Class 11 - STRUCTURE OF ATOM || BOHR MODEL By Yakshu Ma'am

Match the following : {:("Column-I" ," Column-II"),("(A) The value of " underset(k=1)overset(2007)sum (sin""(2kpi)/9 - icos""(2kpi)/9) " is" , " (p) -1"),("(B) If " z_(1)","z_(2) and z_(3) " are unimodular complex numbers such that " |z_(1)+z_(2)+z_(3)|=1 " then " |1/z_(1)+1/z_(2) + 1/z_(3)| " is equal to " , " (q) 2 "),("(C) If the complex numbers " z_(1)"," z_(2) and z_(3) " represent the vetices of an equilateral triangle such that " |z_(1)|=|z_(2)|=|z_(3)| " then " (z_(1) +z_(2) +z_(3)) -1 " is equal to " , " (r) 1"),("(D) If " alpha " is an imaginary fifth root of unity , then " 4log_(4)| 1+alpha +alpha^(2) +alpha^(3) -1/alpha| " is " , " (s) 0"):}

12:30 PM JEE Mains 2020 - Maths | Complex Numbers - 30 Days Score Booster Course

If omega is the 2014^("th") root of unity and z_(1) and z_(2) be any two complex numbers such that |z_(1)|=3,|z_(2)|=4 then value of underset(k=0)overset(2013)sum |z_(1)+omega^(k)z_(2)|^(2) is

A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabet as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example 'L' can be represented by 21, 33 etc and 'Z can be represented by 56, 98 etc. Similarly, you have to identify the set for the word "TOMB'.