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If in the expansion of (1+x)^(15), the c...

If in the expansion of `(1+x)^(15),` the coefficients of `(2r+3)^(th) a n d\ (r-1)^(th)` terms are equal, then the value of `r` is a. 5 b. 6 c. 4 d. 3

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RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
  1. The coefficient of x^(-17) in the expansion of (x^4-1/x^3)^(15) is

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  2. In the expansion of (x^2-1/(3x))^9 the term without x is equal to a. (...

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  3. If in the expansion of (1+x)^(15), the coefficients of (2r+3)^(th) a n...

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  4. The middle term of the expansion of ((2x^2)/3+3/(2x^2))^(10) is a. 251...

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  5. If in the expansion of (x^4-1/(x^3))^(15),\ x^(-17) occurs in rth term...

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  6. In the expansion of (x-1/(3x^2))^9, the term independent of x is a. T3...

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  7. If the coefficients of 5th, 6th , and 7th terms in the expansion of (1...

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  8. Find the term independent o f x in the expansion of the following expr...

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

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

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

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

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

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

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

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

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

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

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

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

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