Ex 4.1

Chapter 4 Class 11 Complex Numbers
Serial order wise

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Transcript

Ex5.1, 12 Find the multiplicative inverse of the Complex number β5 + 3π Multiplicative inverse of z = z β 1 Multiplicative inverse of z = 1/π§ Putting z = β5 + 3π multiplicative inverse of β5 + 3π = 1/(β5 + 3 π) Rationalizing = 1/(β5 + 3π) Γ(β5 β 3π)/(β5 β 3π) = (β5 β 3π)/(β5 + 3π )(β(5 )β 3π) Using (a β b ) ( a + b ) = a 2 β b 2 = (β5 β 3π)/((β5 )2β (3π)2) "= " (β5 β 3π)/(5 β 9π2) Putting i 2 = β1 = (β5 β 3π)/(5 β 9 (β1) ) = (β5 β 3π)/(5 + 9 ) = (β5 β 3π)/14 = (β5 )/14 β 3/14 π

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.