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If $z = \sqrt{20 i - 21} + \sqrt{20 i + 21,}$ than one of the possible value of $| a r g (z) |$ equals

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π/4

π/2

3π/8

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detailed solution

Correct option is A

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

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If $z = \sqrt{20 i - 21} + \sqrt{20 i + 21,}$ than one of the possible value of $| a r g (z) |$ equals