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Ex 5.1, 6 - Express in a + ib: (1/5 + i2/5) - (4 + i5/2) - Convert to a + ib form

  1. Chapter 5 Class 11th Complex Numbers
  2. Serial order wise
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Transcript

Ex5.1, 6 Express the given Complex number in the form a + ib: (1/5 "+" 𝑖 2/5) βˆ’ (4+𝑖 5/2) (1/5 "+" 𝑖 2/5) βˆ’ (4+𝑖 5/2) = 1/5 + i 2/5 – 4 – i 5/2 = 1/5 βˆ’ 4 + i 2/5 βˆ’ i 5/2 = (1/5βˆ’"4" ) + ("i" 2/5 " βˆ’ i " 5/2) = ((1 βˆ’ 4 Γ— 5)/5) + 𝑖 (( 2 Γ— 2 βˆ’ 5 Γ— 5)/10) = ((1 βˆ’ 20)/5) + 𝑖((4 βˆ’ 25)/10) = ((βˆ’19)/5) + ((βˆ’21)/10 𝑖 )

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