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If cosalpha+cosbeta+cosgamma=0=sin alpha...

If `cosalpha+cosbeta+cosgamma=0=sin alpha+sinbeta+singamma` then `cos^2alpha+cos^2beta+cos^2gamma=`

A

0

B

1

C

`cos2(alpha+beta+gamma)`

D

-1

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The correct Answer is:
A
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AAKASH SERIES-DEMOIVRE'S THEOREM-PRACTICE EXERCISE
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  2. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then sin(2alp...

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  3. If cosalpha+cosbeta+cosgamma=0=sin alpha+sinbeta+singamma then cos^2al...

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  4. If cosalpha+coabeta+cosgamma=0=sinalpha+sinbeta+singamma then cos(alph...

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  5. If a=cisalpha,b=cisbeta,c=cisgamma, and a/b+b/c+c/a-1=0 then cos(alph...

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  6. If A+B+C= pi and cos A+cos B+cos C=0=sin A+sin B+sin C , then sin 3A+...

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  7. The cube roots of 1+I are

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  9. The values of (1+i)^(2//3) are

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  10. All the values of (-i)^(1//3) are given by

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  12. Solve x^9-x^5+x^4-1=0

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  14. If 1,alpha,alpha^2,…...,alpha^(n-1) are the n^(th) roots of unity, the...

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  15. A : (1+i)^(6)+(1-i)^(6)=0 R : If n is a positive integer then (1+i)^...

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  16. Assertion (A): If A, B, C are the angles of a triangle such that cos A...

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  17. IF omega represents a complex cube root of unity, then (1+1/omega)(1+1...

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  18. Assertion (A) : If alpha=cos((2pi)/(7))+isin((2pi)/(7)),p=alpha+alpha^...

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  19. If z=(sqrt3-i)/(2) then (i^(101)+z^(101))^(103)=

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