COMPLEX NUMBERS | Cube Roots of Unity | JEE | Class 11 Maths | 4 PM By Pallavi Ma'am |L13 | Doubtnut

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

To find the roots of any Complex Number, Cube roots of Unity

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

Modulus of a Complex Number (सम्मिश्र संख्याओं का मापांक)|Properties of Modulus (मापांक के गुण)|Square Root of a Complex Number (सम्मिश्र संख्याओं का वर्गमूल)|Cube Roots of Unity (इकाई का घनमूल)|Properties of Cube Roots of Unity (इकाई का घनमूल के गुणधर्म)|Trigonometrical or Polar form of a Complex Number (सम्मिश्र संख्या का त्रिकोणमितीय या ध्रुवीय रूप)|Euler or Eulerian Form of Complex Number (सम्मिश्र संख्या का यूलर या युलेरियन रूप)|De-Moivre's Theorem|Example |OMR

If omega,bar(omega), are the complex cube roots of unity and P(z) is a point on a circle given by |z|=4 such that |z-1| is maximum.Then the centroid of the triangle formed by the points whose affixes are z,-omega,-bar(omega) is

Let omega!=1 be cube root of unity and S be the set of all non-singular matrices of the form [[1,a,bomega,1,comega^(2),theta,1]], where each of a,b, and c is either omega or omega^(2). Then the number of distinct matrices in the set S is (a) 2 (b) 6 (c) 4 (d) 8

If w is an imaginary cube root of unity then prove that If w is a complex cube root of unity , find the value of (1+w)(1+w^2)(1+w^4)(1+w^8)..... to n factors.

If omega is a complex cube roots of unity, then find the value of the (1+ omega)(1+ omega^(2))(1+ omega^(4)) (1+ omega^(8)) … to 2n factors.