1.

The value of ` (z + 3) (barz + 3) ` is equivlent to(A) |z+3|^(2) (B) |z-3| (C) z^2+3 (D) none of theseA. `| z+ 3|^(2)`B. `|z -3|`C. `z^(2) +3`D. None of these

Answer» Correct Answer - A
Given that, `(z + 3)( barz + 3)`
Let z = x + iy
`rArr ( z + 3) (barz + 3) = ( x +iy + 3) (x + 3 - iy)`
`= (x + 3)^(2) - (iy) ^(2) = (x + 3)^(2) + y^(2)`
`= | x + 3 + iy|^(2) = | z + 3|^(2)`


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