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.