Answer :

Given in the question,

Thus, in order to find the modulus we will follow following steps:

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Find the real values of x and y for which the complex number (-3 + iyx^{2}) and (x^{2} + y + 4i) are conjugates of each other.

Solve the equation |z| = z + 1 + 2i.

RD Sharma - MathematicsIf |z + 1| = z + 2(1 + i), find z.

RD Sharma - MathematicsFind the conjugates of the following complex numbers:

RD Sharma - Mathematics

Find principal argument of

Mathematics - ExemplarIf z_{1} is a complex number other than –1 such that |z_{1}| = 1 and z_{2} = then show that z2 is purely imaginary.

Find the real values of x and y for which (x – iy) (3 + 5i) is the conjugate of (-6 – 24i).

RS Aggarwal - MathematicsFind the conjugate of each of the following:

RS Aggarwal - Mathematics

Express each of the following in the form (a + ib) and find its conjugate.

(ii) (2 + 3i)^{2}

(iii)

(iv)

(v)

(vi)

RS Aggarwal - Mathematics