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Question

Mathematics Question on complex numbers

If the real part of the complex number z=p+2ipiz=\frac{p+2i}{p-i}, pR,p>0 is 12p\isin\R, p\gt0\ is\ \frac{1}{2}, then the value of p is equal to

A

√2

B

√3

C

√5

D

32\frac{\sqrt3}{2}

E

1

Answer

√5

Explanation

Solution

The correct option is (C): √5