Question

If $|\mathcal{Z}-2|=2|\mathcal{Z}-1|$, then prove that ${|\mathcal{Z}|}^2=\frac{4}{3}Re\left(\mathcal{Z}\right)$.​

Answer 1

Answer:

Step-by-step explanation:

Complex numbers:-

Let us take z as x+iy,where x,y€R

Here,x is defined as the real part of the complex number z and y is defined as the imaginary part of the complex number z.

Modulus |z|=✓{x*x}+{y*y}

Substituting z as x+iy in the given equation,we get the desired expression to be proved.

Answer 2

Answer:

hope it is helpful to you