Let z(1) and z(2) be any two non-zero co...

Let `z_(1)` and `z_(2)` be any two non-zero complex numbers such that `3|z_(1)|=2|z_(2)|. "If "z=(3z_(1))/(2z_(2)) + (2z_(2))/(3z_(1))`, then

A

`|z| = (1)/(2) sqrt((17)/(2))`

B

Re(z) = 0

C

`|z| = sqrt((5)/(2))`

D

Im(z) = 0

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The correct Answer is:

D

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