×

#### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Click to Chat

1800-1023-196

+91-120-4616500

CART 0

• 0

MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

1,w,w^2.....w^n-1 are nth roots of unity then (1-w)(1-w^2)...(1-w^n-1) =?


11 months ago

Arun
25359 Points
							x=1 on both the sides nowAns =3 – 1 =0So I can write3Basically 1,a1,a2......an-1 all these are the roots of this equation x

11 months ago
2069 Points
							1,w,w^2.....w^n-1 are nth roots of unity means these are roots of polynomial eqn:x^n – 1= 0or x^n – 1= (x – 1)(x – w)(x – w^2)..........(x – w^n-1)or (x – w)(x – w^2)..........(x – w^n-1)= (x^n – 1)/(x – 1)now, take limit x tends to 1 both sideswe get (1-w)(1-w^2)...(1-w^n-1) = lim x tends to 1 (x^n – 1)/(x – 1)apply l hospital rule (0/0)= lim x tends to 1 nx^n-1/1= nkindly approve :))

11 months ago
Vikas TU
13868 Points
							Dear student Please refer the following link https://www.askiitians.com/forums/Algebra/if-1-w-w-upto-w-n-1-are-the-nth-roots-of-unit_222724.htm Good Luck

11 months ago
Think You Can Provide A Better Answer ?

## Other Related Questions on Algebra

View all Questions »

### Course Features

• 731 Video Lectures
• Revision Notes
• Previous Year Papers
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Test paper with Video Solution

### Course Features

• 101 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions