Consider four statements Re(z1) Re(z) (B) |21 · 22| = |21|· |2| (C) {1 < |z – 1| < 2} is a connected set (D) arg(z1 + z2) = arg(z1) + arg(z2) 21 (A) Re () Which of the following is correct for all complex numbers? Select one: a. None of these b. (A) and (D) only с. (С) only d. (B) only

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A: Use the provided information.

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A: Given:- Let G=R the set of all real numbers,with the operation @ defined by a@b=a+b2for each ab∈R To…

Q: If z1 and z2 are complex numbers such that |21| = |2|, prove that arg(2122) = arg ((21 + z2)²) .

A: This  problem is related with complex analysis. Given that z1 and z2 are two complex numbers such…

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A: Explanation of the answer is as follows

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A: The given problem is to find the matrix Mn for the given matrix M. Given matrix, M = [-6 -5 ; 5 -6].

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A: Here draw pascal triangle for some 1 to 4 rows and conclude for nth row

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A:

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A: ln7x-23x+2=lnx-3⇒7x-23x+2=x-3

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A:

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A:

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A: For all real numbers x and y, x+y=x+y.

Q: 19. (a) Prove that for any complex number z, |z|² = zz. (b) Hence prove that for any complex numbers…

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