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MHT CET202211 Aug 2022Morning ShiftMathematicsComplex NumberActual

A value of , for which 2+3 i 1-2 , i = -1 is purely imaginary, is

Options

  1. A6
  2. B3
  3. C⁻¹ ( 1 3 )
  4. D⁻¹( 3 )

Correct answer

C. ⁻¹ ( 1 3 )

Step-by-step solution

z = 2+3 i 1-2 i 1+2 i 1+2 i = (2-6 ^2 )+ i (7 ) 1+4 ^2 for z to be purely imaginary Re (z)=0 6 ^2 =2 = ⁻¹ ( 1 3 )

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