## meejoy 2 years ago show that the sum of a complex number and its conjugate is twice the real part of the number, and the difference is twice the imaginary part of the number.

1. manishsatywali

do u knw what is complex no.?

2. manishsatywali

let me know that first?

3. perl

(a+bi) - (a-bi) = 2b i

4. meejoy

@manishsatywali : yes i know it..

5. manishsatywali

so fr the moment u have been provided that : for a complex no . A+ Bi

6. manishsatywali

what will be it's conjugate ???? tell me asap

7. meejoy

@perl : thanks..

8. meejoy

@manishsatywali : a-bi

9. manishsatywali

k now according to th equestion there r two conditions first diffrence and sum of complex no. and it's conjugate ......ok

10. perl

oh i messed up the first one

11. perl

(a+bi) + ( a-bi) = 2a (a+bi) - (a-bi) = 2b i

12. manishsatywali

frst let's focus on the sum of complex no. and it's conjugate

13. perl

manish, dont sweat it bro. this is done

14. perl

where is my medal?

15. perl

(a+bi) + ( a-bi) = 2a (a+bi) - (a-bi) = 2b i

16. manishsatywali

@perl pls...dn't give direct answer...............i getting whether she everything about the question or not right from base level

17. meejoy

@manishsatywali : i agree..

18. perl

manish, dont sweat it bro.

19. perl

manish, i got this bro

20. manishsatywali

nw sum (A-Bi ) + (A-Bi).........do it fast ?????????????@meejoy

21. perl

no thats wrong manish

22. perl

manish, here (a+bi) + ( a-bi) = 2a (a+bi) - (a-bi) = 2b i

23. perl

a = Re(z) , b = Im (z) ,

24. manishsatywali

@perl bro pls. w8

25. manishsatywali

@meejoy do the sum

26. perl

ok sorry :) message me if you have question

27. meejoy

@perl and @manishsatywali : this is for studying purpose... but it seems this just gave me a mess. >_<

28. manishsatywali

@meejoy.........pls do the sum

29. meejoy

@perl and @manishsatywali : stop the wild talk ..

30. perl

wild talk?

31. meejoy

2A-2Bi

32. manishsatywali

srry @meejoy u gt the wrong answer + Bi and - Bi must cancel

33. meejoy

you ask me to get the sum of this right ? (A-Bi ) + (A-Bi) .. how come that Bi must be cancel???

34. meejoy

@manishsatywali : are you still here?

35. meejoy

@perl : will you pls help me to know and understand the right answer and solution? thanks..

36. manishsatywali

|dw:1359613917139:dw|

37. meejoy

you give me (A-Bi ) + (A-Bi). and not (A+Bi ) + (A-Bi).

38. meejoy

@manishsatywali : ok then???

39. manishsatywali

so what is the answer it is 2A ( THIS IS REAL NO.) do u follow till here?

40. meejoy

yes i know.. because a is the real part and bi is the imaginary part of the number.. :) ok @manishsatywali : no need to finish this i got it already :)) thanks

41. meejoy

of the complex number. :)

42. manishsatywali

k @meejoy will u nw do the difference on ur own?

43. manishsatywali

mn tell me d answer ?

44. Directrix

Given: x = a + bi where a and b are real numbers and i = square root of (-1). The conjugate of x is a - bi. The conjugate of the conjugate of x is a - (-bi) = a + bi which equals x which is a+bi. Therefore, the conjugate of the conjugate of a+bi = a + bi. Note: The sum of a number and its complex conjugate is zero.

45. meejoy

@manishsatywali : yup :)

46. manishsatywali

47. meejoy

@manishsatywali : 2bi.. are we done?? .. bayiee

48. meejoy

@Directrix : oh thanks :)

49. manishsatywali

yes we r done.........bye n thanks fr allowing me to help you ......

50. meejoy

@manishsatywali : no reason to thank me .. i was the one who must thank you ...

51. manishsatywali

k got i t

52. meejoy

@manishsatywali : heres your medal :)