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If arg ((z(1) -(z)/(|z|))/((z)/(|z|))) =...

If arg `((z_(1) -(z)/(|z|))/((z)/(|z|))) = (pi)/(2) and |(z)/(|z|)-z_(1)|=3`, then `|z_(1)|` equals to

A

`sqrt(3)`

B

`2sqrt(2)`

C

`sqrt(10)`

D

`sqrt(26)`

Text Solution

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The correct Answer is:
C
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If z_(1)&z_(2) are two complex numbers & if arg (z_(1)+z_(2))/(z_(1)-z_(2))=(pi)/(2) but |z_(1)+z_(2)|!=|z_(1)-z_(2)| then the figure formed by the points represented by 0,z_(1),z_(2)&z_(1)+z_(2) is:

If arg((z_(1))/(z_(2)))=(pi)/(2), then find the value of |(z_(1)+z_(2))/(z_(1)-z_(2))|

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