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Associative Property of Whole Numbers

Let z1=2-i, z...

Question

Let . Find

(i) , (ii)

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Solution

(i)

On multiplying numerator and denominator by (2 – i), we obtain

On comparing real parts, we obtain

(ii)

On comparing imaginary parts, we obtain

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$I f z_{1} = 2 - i, z_{2} = - 2 + i, find (i) R e (\frac{z_{1} z_{2}}{z_{1}}) (i i) I m (\frac{1}{z_{1} z_{2}})$

z_{1} = 2 - i, z_{2} = - 2 + i

R e (\frac{z_{1} z_{2}}{_{1}})

I m (\frac{1}{z_{1}_{1}})

z_{1} = 2 - i, z_{2} = - 2 + i

R e (\frac{z_{1} z_{2}}{_{1}})

z_{1}, z_{2} \in C

x = | z_{1} z_{2} | - R e (z_{1} z_{2}) - \frac{1}{2} |_{2} - z_{1} |^{2} + \frac{1}{2} (| z_{2} | - | z_{1} |)^{2}

z_{1} = 2 - i, z_{2} = - 2 + i

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