CBSE Class 11-science Answered
complex numbers
Asked by | 28 Sep, 2009, 10:08: AM
Expert Answer
Dear Student
Let A = x+iy and n is a +ve integer (given)
An=(A+1)n=1+0i (given)
Taking Modulus
|An|= |(A+1)n|= |1+0i|
| A|n= |(A+1)|n= 1n (Since Izn|=|z|n and 1n =1 for all n)
Taking nth root we get
|A|=|A+1| =1
so x2+y2 =1 and (x+1)2+y2=1
solving we get x=-1/2 and y = 3/2
Result is independent of n It is true for all n
Regards
Team Topperlearning
Answered by | 13 Jan, 2010, 04:50: PM
CBSE 11-science - Maths
Asked by benganigaurav24 | 10 Jul, 2021, 10:05: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by sahabya | 29 May, 2010, 02:55: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by abhishek11 | 25 May, 2010, 07:11: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by prashant.jain | 24 May, 2010, 12:43: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by sidhusid | 18 May, 2010, 07:14: AM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by MANOJKUMAR | 15 May, 2010, 01:33: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by dandirao | 15 May, 2010, 12:19: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by varunsinghal2011 | 09 May, 2010, 03:45: PM
ANSWERED BY EXPERT