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If `alpha,beta,gamma` are the angles of a triangle and system of equations `cos(alpha-beta)x+cos(beta-gamma)y+cos(gamma-alpha)z=0` `cos(alpha+beta)x+cos(beta+gamma)y+cos(gamma+alpha)z=0` `sin(alpha+beta)x+sin(beta+gamma)y+sin(gamma+alpha)z=0` has non-trivial solutions, then triangle is necessarily a. equilateral b. isosceles c. right angled`""` d. acute angled

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