If T_r+1 is the term independent of x in (3x-5/x³)⁸ then r=

The 4^th term of (1-2x)^-1 when x=1/3 is

If x^r occurs in the expansion (x+1/x²)²ⁿ, then its coefficient is:

The sum of the coefficients of (1+2x-4x²)³⁵ is

The number of non zero terms in the expansion of (x+a)¹⁰⁰ + (x-a)¹⁰⁰ is

If (3 + 4i) is a root of x²+px+q=0, then (p, q) is:

The term independent of x in the expansion of (1+x+2x³)(3x²/2-1/3x/)⁹ is

The number of terms in the expansion of (a+b+c+d)⁵ is

The coefficient of x² in1+x²/(1-x)³ is

If p and q are the coefficients of xⁿ in (1+x)^2n-1 and (1+x)²ⁿ respectively then 2p=