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Algebra

Cool goIITian

Joined:	14 Mar 2008
Post:	36

27 Mar 2008 15:09:11 IST

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280

complex nos.

None

1. if f_p(a) = ^p

_k=1 ( cos ka/p² + i sin ka/p² ). then what is _n

f_n(

) ?

2. if | z- i Re(z) | = | z- Im (z) |,then z lies on:

a. Re(z)=2

B. Im(z)=2

c. Re(z) + Im(z) = 2

D. none of these

3.if a is a complex constant such that az2 + z + conjugate(a) = 0 has real root then

a. a+conjugate(a) = 1

b. a+conjugate(a) = 0

c. a+conjugate(a) = -1

d.the absolute value of real roots is 1

4.what is the reflection of comlex no. 2-i / 3+ i in the straight line z(1+i) = conjugate(z) ( i - 1) ?

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Comments (3)

LAMPARD

Blazing goIITian

Joined: 1 May 2007

Posts: 777

27 Mar 2008 15:13:23 IST

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Is the answer for the 1st 'i'???

Decoder

Blazing goIITian

Joined: 1 Apr 2007

Posts: 1084

27 Mar 2008 15:26:56 IST

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1)..just write in euler form..
it is e^{ ika/p^2

sharmadon

Cool goIITian

Joined: 14 Mar 2008

Posts: 36

28 Mar 2008 00:44:59 IST

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yes the answer for the first one is i..hw abt the others??

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