If (x, y) are complex numbers then x2 + y2 is called its modulus. The modulli of a complex
number and its conjugate
(a) are always equal
(b) are always different
(c) are off and on equal
(d) None of these.
 
 
 
 
 
which option is right sir?? please explain in detail
 

Asked by vedant sharma | 18th Aug, 2014, 01:20: AM

Expert Answer:

L e t space z equals x plus i y space a n d space top enclose z space b e space i t s space c o n j u g a t e T h e r e f o r e comma space top enclose z equals x minus i y T h e r e f o r e comma space open vertical bar z close vertical bar equals square root of x squared plus y squared end root A l s o comma space open vertical bar top enclose z close vertical bar equals square root of x squared plus open parentheses minus y close parentheses squared end root equals square root of x squared plus y squared end root T h u s comma space i t space i s space c l e a r space t h a t space space open vertical bar z close vertical bar equals space open vertical bar top enclose z close vertical bar H e n c e space t h e space c o r r e c t space o p t i o n space i s space left parenthesis a right parenthesis

Answered by Vimala Ramamurthy | 18th Aug, 2014, 08:51: AM