jee-advanced 2000 Q31

jee-advanced · India · screening Complex Numbers Arithmetic Modulus Computation
31. If $\mathrm { z } 1 , \mathrm { z } 2$ and z 3 are complex numbers such that $| z 1 | | z 2 | = | z 3 | = | 1 / z 1 + 1 / z 2 + 1 / z 3 | = 1$, then $| z 1 + z 2 + z 3 |$ is :
(A) equal to 1
(B) less than1
(C) greater than 3
(D) equal to 3 
31. If $\mathrm { z } 1 , \mathrm { z } 2$ and z 3 are complex numbers such that $| z 1 | | z 2 | = | z 3 | = | 1 / z 1 + 1 / z 2 + 1 / z 3 | = 1$, then $| z 1 + z 2 + z 3 |$ is :\\
(A) equal to 1\\
(B) less than1\\
(C) greater than 3\\
(D) equal to 3\\
Paper Questions
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