Expansion||Middle term||Independent OF x term

Suppose k in R . Let a be the coefficient of the middle term in the expansion of (k/x+x/k)^(10) and b be the term independent of x in the expansion of ((k^(2))/x+x/k)^(10) . If a/b=1 , then k is equal to

Find the term independent of x in the expansion of: (x-(1)/(x))^(12)

Find the term independent of x in the expansion of: (2x-(1)/(x))^(10)

Consider the binomial expansion of (sqrt(x)+(1/(2x^(1/4))))^n n in NN, where the terms of the expansion are written in decreasing powers of x. If the coefficients of the first three terms form an arithmetic progression then the statement(s) which hold good is(are) (A) total number of terms in the expansion of the binomial is 8 (B) number of terms in the expansion with integral power of x is 3 (C) there is no term in the expansion which is independent of x (D) fourth and fifth are the middle terms of the expansion

The value of the term independent of x in the expansion of (x^(2)-(1)/(x))^(9) is :

Show that the term independent of x in the expansion of (x-1/x)^(10) is -252 .

Show that there are no terms independent of in the expansion of (x+1/x)^19