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BITSAT2021MathematicsComplex NumberActual

If z₁= 2 [ 4 +i 4 ] and z₂= 3 [ 3 +i 3 ] then |z₁ z₂ | is equal to m . Value of m is

Options

  1. A6
  2. B3
  3. C2
  4. D5

Correct answer

A. 6

Step-by-step solution

z₁= 2 [ 4 +i 4 ]= 2 [ 1 2 +i 1 2 ]=1+i |z₁ |= 2 and z₂= 3 [ 3 +i 3 ]= 3 [ 1 2 +i 3 2 ] |z₂ |= 3 4 + 9 4 = 3 |z₁ z₂ |= |z₁ | |z₂ |= 2 3 =6

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