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If a=cisalpha,b=cisbeta,c=cisgamma, and ...

If `a=cisalpha,b=cisbeta,c=cisgamma`, and `a/b+b/c+c/a-1=0` then
`cos(alpha-beta)+cos(beta-gamma)``+ cos(gamma-alpha)`=

A

0

B

1

C

-1

D

2

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-DEMOIVRE'S THEOREM-PRACTICE EXERCISE
  1. If cosalpha+cosbeta+cosgamma=0=sin alpha+sinbeta+singamma then cos^2al...

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

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

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  4. 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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  5. The cube roots of 1+I are

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  6. The values of (sqrt3+i)^(1//4) are

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

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

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  9. If x^4-1=0 then x=

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

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  11. 1,alpha1,alpha2,alpha3…..alpha(n-1) are the n^(th) roots of unity and ...

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

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

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

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

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

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

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  18. The roots of (z-1)^n=i(z+1)^n are plotted on the argand plane they are

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  19. If 'alpha' be the non-real n^(th) roots of unity, then 1+3alpha+5alpha...

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  20. If cos alpha+2cos beta+3cos gamma=sinalpha+2sinbeta+3singamma=0 then s...

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