Complex matching

improve ur writing eureka ..

2)

i) (A)
ii) (C)
iii) (B)

teell me whether i am correct or not as usual[3]

[34]

for the 1st 1 put
z₁=-1

z₂=0

z₃=0

z₄=0

saare answers correct aajaenge

aise nahin yaar..i am looking for some good method.........

haan par tere method se hi paper mein answer nikelega.....[1][1]

waise IIT waaale aise ques kabhie nahin deenge

hum se woh 4 kadam aage hain !!!!!!!!!!!!!!

Q2.
(i) z + z = 0
==> re(z) = 0
==> z is purely imaginary
So, A

(ii) z-z = 0
==> 2i Im(z) = 0
==> im (z) = 0
So, if z=x ... where x is real,
then re(z²) = x² which is ≥0
and obviously Im(zⁿ) = 0 for all n = IN
So, C

(iii) arg(z) = pi/8
==> z = rcospi/8 + irsinpi/8
z² = r²(cospi/4 + i sinpi/4)
Re(z²) = r²*1/√2 which is > 0
similarly Re(z⁸) = r⁸*cos(pi) = -r⁸ which is ≤0

So, B

hence (i) A
(ii) C
(iii) B