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MHT CET202120 Sep 2021Evening ShiftMathematicsComplex NumberActual

If is complex cube root of unity and (1+ )^7= A + B , then values of A and B are, respectively.

Options

  1. A0,1
  2. B1,0
  3. C1,1
  4. D-1,1

Correct answer

C. 1,1

Step-by-step solution

aligned & (1+ )^7= A + B & A + B = (- ^2 )^7 ( 1+ + ^2=0 ] & =(-1) ¹⁴=- ¹² ^2=- ^2=(1+ ) & A=1, B=1 aligned

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