Q82.The sum of 162th power of the roots of the equation x3 −2x2 + 2x −1 = 0 is ______. + + … . . + = n. 2m , then n + m is
What This Question Tests
The question tests the ability to find roots of a cubic equation and then apply properties of cube roots of unity to efficiently calculate the sum of high powers of these roots.
Concepts Tested
Formulas Used
x^3-1 = (x-1)(x^2+x+1) = 0
1+ω+ω^2=0
ω^3=1
📚 NCERT Sections This Tests
8.17 — Complete Each Synthesis By Giving Missing Starting Material, Reagent Or Products
Chemistry Class 12 · Chapter 8
8.17 Complete each synthesis by giving missing starting material, reagent or products
1.18 — A Point Charge Of 2.0 Mc Is At The Centre Of A Cubic Gaussian
Physics Class 11 · Chapter 1
1.18 A point charge of 2.0 mC is at the centre of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?
2.2 — A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 · Chapter 2
2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Roots of Unity and Cube Roots of Unity
- Year
- 2021
- Shift
- 26 Feb Shift 1
- Q Number
- Q82
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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