The `(m + 1)^(th)` term of `(x/y+y/x)^(2m + 1 )` is

In the binomial expansion of (1 + x)^(10) , the coefficeents of (2m + 1)^(th) and (4m + 5)^(th) terms are equal. Value of m is

The coefficient of the (2m+1)^("th") and (4m+5)^("th") terms in the expansion of (1+x)^(100) are equal, then the value of (m)/(2) is equal to

The coefficient of the (2m+1)^("th") and (4m+5)^("th") terms in the expansion of (1+x)^(100) are equal, then the value of (m)/(2) is equal to

If y =e ^( m Cos ^(-1)x) then show that (1- x^(2)) y _(2) - xy_(1) -m^(2) y =0.

For what value of m, the coefficients of (2m + 1)^(th) and (4m+5)^(th) terms in the expansion of (1 + x)^10 are equal ?

If y= (x + sqrt(x^(2) + 1))^(m) then prove that, (x^(2)+1) y_(2) + xy_(1)= m^(2)y

If l th, m th and n th terms of an HP are x, y and z respectively, then find the value of yz(m-n)+ xz(n-1)+ xy(l-m) .

If x^m y^n = (x+y)^(m+n) then find (dy)/(dx) at x=1, y=2