Product of two complex numbers each of unit modulus is also a complex number, of

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4-1.Complex numbers

normal

The product of two complex numbers each of unit modulus is also a complex number, of

A

Unit modulus

B

Less than unit modulus

C

Greater than unit modulus

D

None of these

Solution

(a)If $|{z_1}| = 1$and $|{z_2}| = 1,$ then $|{z_1}{z_2}| = |{z_1}||{z_2}| = 1.1 = 1$
.

Standard 11

Mathematics

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