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The module of Z = 1-I is equal to____ The main value of the angle is____ Its conjugate complex number is___
|z|=√[1²+(-1)²]=√2
z=√2[cos(7π/4)+isin(7π/4)]
So the module is √ 2
The main value of radiation angle is 7 π / 4
The conjugate complex number is 1 + I
The conjugate complex number of Z + | = 2 + i.z =?
Let z = x + Yi and the conjugate of Z be x-yi
X + radical (x ^ 2 + y ^ 2) = 2, y = 1
The solution is x = 3 / 4, y = 1
Therefore, z = 3 / 4 + I
The conjugate complex of 51 + 2I is ()
A. -53−103iB. -53+103iC. 1-2iD. 1+2i
∵ complex 51 + 2I = 5 (1 − 2I) (1 + 2I) (1 − 2I) = 5 (1 − 2I) 5 = 1-2i, ∵ the conjugate complex of complex 51 + 2I is 1 + 2I, so choose D
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