The term independent of `a` in the expansion of `(1+sqrta+ 1/(sqrta-1))^-30` is (a) `30C_20` (b) `0` (c) `30C_10` (d) non of these

the term independent of x in the expansion of (sqrt(x/3)+sqrt(2/92^2))^10 is (A) 0 (B) ^10C_1 (C) 5/12 (D) none of these

The term independent of x in the expansion of (x-(1)/(x))^(4)(x+(1)/(x))^(3) is: -3 b.0 c.1 d.3

The coefficient of x^5 in the expansion of (1+x^2)^5+(1+x)^4 is (A) 30 (B) 60(C) 40(D) none of these

The coefficient of x^(28) in the expansion of (1+x^(3)-x^(6))^(30) is 1 b.0 c.^(30)C_(6) d.^(30)C_(3)

The coefficient of x^(20) in the expansion of (1+3x+3x^(2)+x^(3))^(20) is (1) .^(60)C_(40) (2) .^(30)C_(20) (3) .^(15)C_(2) (4) .^(60)C_(10)

For r=0,1,.....,10, let A_(r),B_(r),quad and C_(r) denote,respectively,the coefficient of x^(r) in the expansions of (1+x)^(10),(+x)^(20) and (1+x)^(30). Then sum A_(r)(B_(10)B_(r)-C_(10)A_(r)) is equal to

C(3,0) and D(3,1) are the points of trisection of a line segment AB . Find the respective coordinates of A and B . (a) (3,2) , (3,0) " " (b) (3,-1) , (3,2) " " (c) (-3,1) , (3,2) " " (d) None of these

If the sum of the binomial coefficients in the expansion of (x+ 1/x)^n is 64, then the term independent of x is equal to (A) 10 (B) 20 (C) 30 (D) 40

The coefficient x^(5) in the expansion of (1+x)^(21)+(1+x)^(22)++(1+x)^(30) is a.51C_(5) b.^(9)C_(5) c.^(31)C_(6)-^(21)C_(6) d.^(30)C_(5)+^(20)C_(5)