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NDA - Complex Number Test 997
Result
NDA - Complex Number Test 997

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  • Question 1/5
    1 / -0.33
    The complex number  is equal to
    Solutions

    \

  • Question 2/5
    1 / -0.33
    If then  is equal to
    Solutions

    Given



    Formula Used



    Calculation

    Here     ⇒

    Equating real and imaginary part, we get  and

    Hence  ⇒ ⇒ .
    Hence option C is correct.

  • Question 3/5
    1 / -0.33
    If  is a purely imaginary number and ,then a value of  is:
    Solutions

    Consider:



    Hence Option A is correct. 

  • Question 4/5
    1 / -0.33
    Let  is purely imaginary. Then the sum of the elements in A is:
    Solutions

    Correct Answer is option D

  • Question 5/5
    1 / -0.33
    If then is:
    Solutions

    Given:

    Cubing both sides, we get

    Adding three both sides, we get

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