Multiple Choice Questions on Find the arg 1 i of the given equation ........ for NDA Exam Preparation

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Multiple Choice Questions

Find the arg 1 i of the given equation ........

Mathematics (NDA) Complex Numbers
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    Find the arg(1 -i) of the given equation? 

    3π/4 

    Incorrect Answer

    π/4 

    Incorrect Answer

    7π/4 

    Correct Answer

    5π/4 

    Incorrect Answer
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    Explanation:

    ( 1-i) = r(cos θ +sin θ ) , then  

    r cosθ = 1,   r sinθ = -1 

    Thus ,  r = √2 

    And cos θ= 1/√2  , sin θ= -1/√2 

    Therefore ,   θ = 7π/4 

    Thus , arg(z) = 7π/4 

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