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Transcript

Example 1 If 4x + i(3x โ€“ y) = 3 + i (โ€“6), where x and y are real numbers, then find the values of x and y. Given 4๐‘ฅ + ๐‘– (3๐‘ฅ โ€“ ๐‘ฆ) = 3 + ๐‘– (โ€“6) Comparing Real Part 4๐‘ฅ = 3 ๐’™ = ๐Ÿ‘/๐Ÿ’ Comparing Imaginary Part 3๐‘ฅ โ€“ ๐‘ฆ = โˆ’6 Putting ๐’™ = ๐Ÿ‘/๐Ÿ’ 3(๐Ÿ‘/๐Ÿ’) โ€“ ๐‘ฆ = โ€“6 9/4โˆ’๐‘ฆ=โˆ’6 9/4+6=๐‘ฆ ๐’š=๐Ÿ‘๐Ÿ‘/๐Ÿ’ Hence, ๐’™ = ๐Ÿ‘/๐Ÿ’ & ๐’š = ๐Ÿ‘๐Ÿ‘/๐Ÿ’ is the solution of the given equation

  1. Chapter 4 Class 11 Complex Numbers
  2. Serial order wise

About the Author

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo