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AP EAMCET202315 May 2023Morning ShiftMathematicsComplex NumberActual

If z₁=(2,-1) and z₂=(6,3) , then amp ( z₁-z₂ z₁+z₂ )=

Options

  1. A- 3 4 - ⁻¹ ( 1 4 )
  2. B4 ⁻¹ ( 1 4 )
  3. C3 4 + ⁻¹ ( 1 4 )
  4. D4 + ⁻¹ ( 1 4 )

Correct answer

A. - 3 4 - ⁻¹ ( 1 4 )

Step-by-step solution

aligned & Given z₁=2-i, z₂=6+3 i & amp ( z₁-z₂ z₁+z₂ )= amp ( -4-4 i 8+2 i ) & = amp (-4-4 i)- amp (8+2 i) & = [ ⁻¹(1)- ]- [ ⁻¹ ( 2 8 ) ] & = ( 4 - )- ⁻¹ ( 1 4 )=- 3 4 - ⁻¹ ( 1 4 ) aligned

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