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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

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The term independent of a in the expansion of (1+sqrt(a)+(1)/(sqrt(a)-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

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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

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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

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