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ESE Achiever's plan || Paper 1 ||Complex Variables

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Question 1

Let  where z is a complex number not equal to zero. Then z is solution of

Question 2

Assuming i=√-1 and t is a real number,    is _________.

Question 3

Let f(z) = (x2+y2) + i2xy and g(z) = 2xy + i(y2–x2) for z = x+iy where . Then in the complex plane C.

Question 4

If z is a complex number with modulus 1, such that is not –1, then is
[Assume n is a positive integer]

Question 5

The conjugate of a complex number is  , then the complex number is
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Jun 7ESE & GATE EC

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V V Satya Narayana MadasuV V Satya Narayana MadasuMember since Sep 2020
Gate Qualified in 2018,2019,2020,2021| ISRO Exam qualified| AIR -672|Completed M.Tech in VLSI Design
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