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Prove that |alpha+sqrt(alpha^2-beta^2)|+...

Prove that `|alpha+sqrt(alpha^2-beta^2)|+|alpha-sqrt(alpha^2-beta^2)|= |alpha+beta|+|alpha-beta|` where `alpha,beta` are complex numbers.

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MOTION-COMPLEX NUMBER -EXERCISE - 3 (LEVEL -III) SUBJECTIVE - JEE ADVANCED
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  2. If alpha & beta are any two complex numbers, prove that |alpha+beta|...

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  6. Given, z=cos.(2pi)/(2n+1)+i sin.(2pi)/(2n+1), 'n' a positive integer ...

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  14. Solve (z-1)^4-16=0 . Find sum of roots. Locate roots, sum of roots and...

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  15. If omega is a non-real cube root of unity, then the value of (1-omega...

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  16. If omega is an imaginary cube root of unity then prove that If omeg...

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  17. If omega is a cube root of unity, prove that (1+omega-omega^2)^3-(1...

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