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CDS - Complex Number Test 970
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CDS - Complex Number Test 970
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  • Question 1/5
    1 / -0.33
    If  are in A.P. ( are complex numbers) then they lie on a
    Solutions

     are in A.P. , so ,

     then slope is equal at each point hence lie on a straight line.

  • Question 2/5
    1 / -0.33
    Let P be a point represented by the complex number Z. rotate OP (O is the origin) through  In the anticlockwise direction, the new position of the complex number is represented by:
    Solutions

    Let the complex number,

    When it is rotated by through  In the anticlockwise direction, the number will be



    Hence Option D is correct 

  • Question 3/5
    1 / -0.33
    For the complex number z, one from  and  is
    Solutions

    Here  (Real) and  (Real)

  • Question 4/5
    1 / -0.33
    If ,  and  , then
    Solutions

    We have,

      

    Now,

     

     

     

  • Question 5/5
    1 / -0.33
    If is an integer for every integer t then :
    Solutions

    According to Question:

    Let f(t) =

    Clearly, f(0) = b

    ⇒ b is an integer.

    Now, f(1) = 1+a+b

    ⇒ a is an integer.


    Hence Option C is correct 

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