show that es of latībl=1 then It bt...
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show that es of latībl=1 then It btai , btai – it ba i

11th - 12th Class
Maths
Solution
98
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here ( |a+b i|=1 ) ( operatorname{soa}^{wedge} 2+b^{wedge} 2=1 ) ( (1+b+a i) /(1+b-a i) ) using concept of rationalization ( (1+b+a i)^{wedge} 2 /(1+b)^{wedge} 2+a^{wedge} 2 ) ( =1+b^{wedge} 2+2 b-a^{wedge} 2+2 a i(1+b) /left(1+b^{wedge} 2+2 b+a^{wedge} 2right) ) using ( a^{wedge} 2+b^{wedge} 2=1 ) ( 2 b^{wedge} 2+2 b+2 a i(1+b) / 2(1+b) ) ( =(1+b)(b+a i) /(1+b) ) =b+ai
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