IIT JEE COMPLEX NUMBERS AND QUADRATIC EQUATIONS Consider two complex numbers `alphaa n dbeta` as...

214 views · Published 22 September 2017 · 7:05 · Indexed 18 October 2026

Channel: Doubtnut · 2017 · Education

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This is the Solution of question from Cengage Publication Math Book Algebra Chapter 6 COMPLEX NUMBERS AND QUADRATIC EQUATIONS written By G. Tewani. You can Find Solution of all math questions from CENGAGE BOOK on our app DOUBTNUT for free. Download Doubtnut from - https://doubtnut.app.link/U3CCVTmDxR

Consider two complex numbers `alphaa n dbeta`
as `alpha=[(a+b i)//(a-b i)]^2+[(a-b i)//(a+b i)]^2`,
 where a ,b , in R and `beta=(z-1)//(z+1), w here |z|=1,`
then find the correct statement:
both `alphaa n dbeta`
are purely real
both `alphaa n dbeta`
are purely imaginary
`alpha`
is purely real and`beta`
is purely imaginary
`beta`
is purely real and `alpha`
is purely imaginary

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