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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]
[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