If `sum_(0)^(10) 5/((r+2)(r+4))` is `alpha`. Then, find the value of `[alpha]`.

If sin alpha=(4)/(5) , then find the value of sin 2 alpha .

sum_(k=0)^10 (2^k+3)^(10)C_(k)=alpha*2^10+beta*3^10 then value of alpha+beta

If alpha=cos((2 pi)/(5))+i sin((2 pi)/(5)), then find the value of alpha+alpha^(2)+alpha^(3)+alpha^(4)

The sum of squares of three distinct real numbers which form an increasing GP is S^2 (common ratio is r). If sum of numbers is alphaS , then If r=2 then the value of alpha^2 is (a)/(b) (where a and b are coprime ) then a+b is

If the sum of the coefficient in the expansion of (alpha^(2)x^(2)-2 alpha x+1)^(51) vanishes,then find the value of alpha

If alpha and beta are roots of equation x^(2)+4x+p=0 where p=sum_(r=0)^(n)nC_(r)(1+rx)/((1+nx)^(r))(-1)^(r), then the value of | alpha-beta| is

If underset(r=1)overset(10)sum r! (r^(3)+6r^(2)+2r+5)=alpha (11!) , then the value of alpha is equal to .......

If alpha,beta are roots of x^(2)-3x+a=0,a in R and alpha<1