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If the coefficient of `x` in the expansion of `(x^2 +k/x)^5` is 270, then `k`=

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RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
  1. Find the term independent o f x in the expansion of the following expr...

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  2. If A and B respectively denote the sum of the odd terms and sum of the...

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  3. If the coefficient of x in the expansion of (x^2 +k/x)^5 is 270, then...

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  4. The coefficient of x^4 in (x//2-3//x^2)^10 is (405)/(256) b. (504)...

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  5. The number of terms in the expansion of (x+a)^100+(x-a)^100 after simp...

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  6. If T2/T3 in the expansion of (a + b)^n and T3/T4 in the expansion o...

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  7. The coefficient of 1//x in the expansion of (1+x)^n(1+1//x)^n is (n !)...

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  8. The sum of the binomial coefficients of [2x+1/x]^n is equal to 256. Th...

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  9. If the fifth term of the expansion (a^(2//3)+a^(-1))^n does not contai...

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  10. The coefficient of x^(-3) in the expansion of (x-m/x)^(11) is a. -924 ...

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  11. The coefficient of the term independent of x in the expansion of (a x+...

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  12. The coefficient x^5 in the expansion of (1+x)^(21)+(1+x)^(22)++(1+x)^...

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  13. The coefficient of x^8y^(10) in the expansion of (x+y)^(18) is a. \ ^(...

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  14. If the coefficients of the (n+1)^(t h) term and the (n+3)^(t h) term i...

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  15. If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1...

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  16. The middle term in the expansion of ((2x)/3-3/(2x^2))^(2n) is a. \ ^(2...

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  17. If r^(th) term is the middle term in the expansion of (x^2-1/(2x))^...

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  18. The number of terms with integral coefficients in the expansion of (...

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  19. Constant term in the expansion of (x-1/x)^(10) is a. 152 b. -152 c. -2...

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  20. If the coefficients of x^2a n d\ x^3 in the expansion of (3+a x)^9 are...

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