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MHT CET202416 May 2024Evening ShiftMathematicsComplex NumberActual

If z₁=5-2 i and z₂=3+i , where i= -1 , then ( z₁+z₂ z₁-z₂ ) is

Options

  1. A⁻¹ ( 22 19 )
  2. B⁻¹ ( 22 13 )
  3. C⁻¹ ( 21 19 )
  4. D⁻¹ ( 19 22 )

Correct answer

A. ⁻¹ ( 22 19 )

Step-by-step solution

aligned & z₁+z₂ z₁-z₂ = 8-i 2-3 i &= 8-i 2-3 i 2+3 i 2+3 i &= 19+22 i 13 = 19 13 + 22 i 13 & ( z₁+z₂ z₁-z₂ )= ⁻¹ ( 22 19 ) aligned

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