11th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-13

  • question_answer
    Statement-1: The modulus of the complex number \[z=\frac{1-i}{3+i}+4i\]is\[\sqrt{13}\].
    Statement-2: Argument of z is\[ta{{n}^{-1}}\left( \frac{3}{4} \right)\].

    A)  Both Statement-1 and Statement-2 are true and Statement-2 is correct explanation of Statement-1.

    B)  Both Statement-1 and Statement-2 are true but Statement-2 is not correct explanation of Statement-1.

    C)  Statement-1 is true, Statement-2 is false.

    D)  Statement-1 is false, Statement-2 is true.

    Correct Answer: C


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