Coefficient of `alpha^(t)` in the expansion of `(alpha+p)^(m-1)+(alpha+p)^(m-2)(alpha+q)+(alpha+p)^(m-3)(alpha+q)^(2)+…….+(alpha+q)^(m-1)`, where `alpha ne -q and p ne q` is

Co-efficient of alpha^t in thet expansion of (alpha+p)^(m-1)+(alpha+p)^(m-2)(alpha+q)+(alpha+p)^(m-3)(alpha+q)^2+dot(alpha+q)^(m-1) where alpha != -q and p !=q is :

Co-efficient of alpha^(t) in thet expansion of (alpha+p)^(m-1)+(alpha+p)^(m-2)(alpha+q)+(alpha+p)^(m-3)(alpha+q)^(2)+alpha+q where alpha!=-q and p!=q is :

If alpha is complex fifth root of unity and (1+alpha +alpha^(2)+ alpha^(3))^(2005) = p + qalpha + ralpha^(2) + salpha^(3) (where p,q,r,s are real), then find the value of p+ q+r+s .

If alpha is complex fifth root of unity and (1+alpha +alpha^(2)+ alpha^(3))^(2005) = p + qalpha + ralpha^(2) + salpha^(3) (where p,q,r,s are real), then find the value of p+ q+r+s .

If tan alpha = (q)/(p) and alpha lt 90^(@) ," then " (q sin alpha - p cos alpha )/( q sin alpha + p cos alpha ) =

If tan beta= (Q sin alpha)/(P+Q cos alpha) , prove that : tan (alpha-beta)= (P sin alpha)/(Q+P cos alpha) .

If cos alpha + cos 2alpha = p , sin alpha + sin 2alpha = q then eliminate alpha .

If cos^(-1)((p)/(a))+cos^(-1)((q)/(b))=alpha and (p^(2))/(a^(2))+k cos alpha+(q^(2))/(b^(2))=sin^(2)alpha then k=

If alpha and beta are the roots of the equation x^(2) - p(x + 1) - q = 0 , then the value of : (alpha^(2) + 2 alpha + 1)/(alpha^(2)+ 2 alpha + q) + (beta^(2) + 2 beta + 1)/(beta^(2) + 2 beta + q) is :

If alpha,beta are the zeroes of the polynomial x^(2)-p(x+1)-q , then (alpha+1)(beta+1)=