Question Bank - Mathematics

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The arg \( \rm \left (\frac{4 + i}{3 - i} + \frac{4 - i}{3 + i} \right ) \)is equal to

A.
0
B.
1
C.
2
D.
3

Solution:

Concept:Properties of Argument of complex numberarg(z) = 0, z is realCalculation:Given= arg \(\rm \left (\frac{4 + i}{3 - i} + \frac{4 - i}{3 + i} \right )\)= arg \(\rm \left ( \frac{12 + 7i + i^{2} + 12 - 7i + i^{2}}{10} \right )\)= arg \((\rm \frac{11}{5}) \)= 0

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