# Class 10th maths science group Chapter 2 Exercise 2.2

## Class 10th maths science group Chapter 2 Exercise 2.2

Class 10th maths science group Chapter 2 Exercise 2.209/16/2017 01:22:02 pm - notes - 10th - Mathematics Science Group - administrator
This series of lecture is about class 10th maths book exercise 2.2. You will get the lectures and notes about all the exercises of maths 9th, 10th, 11th, 12th. These lectures are related to Punjab Textbook Board PTB, Federal Board, Rawalpindi Board and all other educational boards of Punjab. 
Contact +923445939990 to get complete DVDs of Notes and Video lectures of 10th Mathematics Science Group at your doorstep.


This Lecture includes complete notes of Exercise 2.2 Chapter 2 Theory of Quadratic Equations from class 10th maths (science group) Punjab Text Book Board. For FBISE, RWPBISE and all other boards like Lahore Board, Sargodha Board etc.
In this Lecture you will go through following Topics:
1. Cube Roots of Unity and Their Properties
i) The cube roots of unity.
ii) Recognise complex cube roots of unity as omega and omega^2
iii) Properties of cube roots of unity.
a) Prove that each of the complex rotos of unity is the square of the other.
b) Prove that the product of three cube roots of unity is one.
c) Prove that each complex cube root of unity is reciprocal of the other.
d) Prove that the sum of all the cube roots of unity is zero.
i.e. 1 + omega + omega^2
iv) Use of properties of cube roots of unity to solve appropriate problems.

Select a Question from the list bellow to see the video of that Question directly (works best in Google Chrome Browser):
Q. 1:	Find the cube roots of -1, 8, -27, 64.
Q. 2:	Evaluate:
Q. 3:	Prove that (x^3+y^3) = (x+y)(x+omega y)(x+omega^2 y)
Q. 4:	Prove that x^3+y^3+z^3-3xyz = (x+y+z)(x+omega y+omega^2 z)(x+omega^2 y+omega z)
Q. 5:	Prove that (1+omega)(1+omega^2 )(1+omega^4 )(1+omega^8 )………2n factors = 1

Class 10th maths science group Chapter 2 Exercise 2.2 All exercises Full Solutions
Class 10th maths science group Chapter 2 Exercise 2.2 Notes
Class 10th maths science group Chapter 2 Exercise 2.2 Video lecture
Class 10th maths science group Chapter 2 Exercise 2.2 All Questions pdf Notes


## You May Also Like

Next/Previous Lecture:
Class 10th maths science group Chapter 2 Exercise 2.1 - Notes, Solutions and Video Lectures09/16/2017 01:10:59 pm - notes - 10th - Mathematics Science Group - This series of lecture is about class 10th maths book exercise 2.1. You will get the lectures and notes about all the exercises of maths 9th, 10th, 11th, 12th. These lectures are related to Punjab Textbook Board PTB, Federal Board, Rawalpindi Board and all other educational boards of Punjab. 
Next/Previous Lecture:
Class 10th maths science group Chapter 2 Exercise 2.3 - Notes, Solutions and Video Lectures09/16/2017 01:54:00 pm - notes - 10th - Mathematics Science Group - This series of lecture is about class 10th maths book exercise 2.3. You will get the lectures and notes about all the exercises of maths 9th, 10th, 11th, 12th. These lectures are related to Punjab Textbook Board PTB, Federal Board, Rawalpindi Board and all other educational boards of Punjab. 




Maths Cheat Sheet

//<![CDATA[

// This call can be placed at any point after the
// <textarea>, or inside a <head><script> in a

// Replace the <textarea id="editor"> with an CKEditor
// instance, using default configurations.
CKEDITOR.replace( 'editor2',
{
filebrowserBrowseUrl :'filemanager_in_ckeditor/js/ckeditor/filemanager/browser/default/browser.html?Connector=filemanager_in_ckeditor/js/ckeditor/filemanager/connectors/php/connector.php',
filebrowserImageBrowseUrl : 'filemanager_in_ckeditor/js/ckeditor/filemanager/browser/default/browser.html?Type=Image&Connector=filemanager_in_ckeditor/js/ckeditor/filemanager/connectors/php/connector.php',
filebrowserFlashBrowseUrl :'filemanager_in_ckeditor/js/ckeditor/filemanager/browser/default/browser.html?Type=Flash&Connector=filemanager_in_ckeditor/js/ckeditor/filemanager/connectors/php/connector.php',