If   `A/B = B/C` , find the value of B

If a + b + c = 0 , then find the value of ( ( a + b ) / c + ( b + c )/a + ( c + a ) / b ) times ( a /( b + c ) + b /( c + a ) + c /( a + b ) ) is :

In a triangle ABC, if a, b, c are in A.P. and (b)/(c) sin 2C + (c)/(b) sin 2B + (b)/(a) sin 2A + (a)/(b) sin 2B = 2 , then find the value of sin B

If A = 1/4 B and B = 1/2 c , then find the value of A:B:C .

If a b c=0 , then find the value of {(x^a)^b}^c (a)1 (b) a (c)b (d) c

If [a b c]=2 , then find the value of [(a+2b-c)(a-b)(a-b-c)] .

If a = 2 , b = -2 and c = 2 , then find the value of a^2b + b^2c + c^2a

If the points A(-1,-4),B(b,c)and C(5,-1) are collinear and 3b + c = 4, find the values of b and c.