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If z is a non zero complex, number then ...

If `z` is a non zero complex, number then `|(|barz |^2)/(z barz )|` is equal to
a. `|(barz )/z|`
b. `|z|`
c. `|barz|`
d. none of these

Text Solution

Verified by Experts

`w=|frac{|bar{z}|^{2}}{z bar{z}}|`

`arrow w=frac{|bar{z}||bar{z}|}{|z||bar{z}|}=frac{|bar{z}|}{|z|}`

`therefore quad w=|frac{bar{z}}{z}|`

`arrow w=frac{|bar{z}|}{|bar{z}|} quad ldots{because quad|z|=|z|}`

`therefore quad w=1`

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