" If "sum_(alpha=4)^(n+3)4(alpha-3)=An^(2)+Bn+C," then find the value of "A+B-C

If alpha=\ \ ^4 C_2,\ then find the value of \ ^(alpha)C_2dot

If sum_(k=1)^(n)4(k-3)=An^(2)+Bn+C,n in N then |A+B-C| equals

If A=[(alpha,2),(2,alpha)] and determinant (A^3)=125, then the value of alpha is (a) +-1 (b) +-2 (c) +-3 (d) +-5

If alpha and beta are zeros of f(t) = t^(2) - 4t +3 , find the value of alpha ^(4) beta ^(3) + beta ^(4) alpha ^(3) .

Let a, b,c are respectively the sines and p, q, r are respectively the consines of alpha, alpha+(2pi)/(3) and alpha+(4pi)/(3) , then : Q. The value of (a+b+c) is :

Let a, b,c are respectively the sines and p, q, r are respectively the consines of alpha, alpha+(2pi)/(3) and alpha+(4pi)/(3) , then : Q. The value of (a+b+c) is :

If n>=3 and 1,alpha_(1),alpha_(2),alpha_(3)...alpha_(n-1) are the n, nth roots of unity then find the value of sum_(1<=i