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Q.

If z=20i-21+20i+21,than one of the possible value of |arg (z)| equals

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a

π/4

b

π/2

c

3π/8

d

π

answer is A.

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Detailed Solution

20i+21 =(5+2i)2  and 20i+21 =(2-5i)2 ∴        z=±(5+2i)±(2+5i) ⇒        z=7(1+i), 3(1-i), 3(-1+i), (-1-i) ⇒      arg(z)= π/4, -π/4, 3π/4, -3π/4      Thus, one of the possible value of |arg(z)| is π/4.
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