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If alpha,betabe the imaginary cube root ...

If `alpha`,`beta`be the imaginary cube root of unity, then show that `alpha^4+beta^4+ alpha^-1beta^-1=0`

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 6-EXERCISE
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  2. In /\ABC, if (c + a + b) (a + b - c) = ab, find the-value of angleC.

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