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If the second term in the expansion (roo...

If the second term in the expansion `(root(13)(a)+(a)/(sqrt(a^-1)))^(n)` is `14a^(5//2)`, then the value of `(""^n C_3)/(""^n C_2)` is

A

4

B

3

C

12

D

6

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A
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DIPTI PUBLICATION ( AP EAMET)-BINOMIAL THEOREM-EXERCISE 1A (BINOMIAL THEOREM WITH INTEGRAL INDEX)
  1. If the coefficient of rth term and (r+1)th term in the expansion of (...

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  2. If in the expansion of (1-x)^(2n-1), the coefficient of x^r is denoted...

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  3. If the second term in the expansion (root(13)(a)+(a)/(sqrt(a^-1)))^(n)...

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  4. If the coefficient of x in (x^2+k//x)^5 is 270 then k=

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  5. If the coefficient of x^2 and x^3 in (3+kx)^9 are equal then k=

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  6. If the coefficient of x^7 and x^8 in (2+x//3)^n are equal then n=

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  7. If the coefficients of (2r+1)th term and (4r+5)th term in the expansi...

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  8. If the 5th term is 24 times the 3rd term in the expansion of (1+x)^11...

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  9. Prove that : If the coefficients of (2r+4)^("th") and (r-2)^("nd") te...

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  10. The ratio of the coefficient of x^15 to the term independent of x in (...

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  11. The ratio of the coefficient of x^10 in (1-x^2)^10 and the term of ind...

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  12. The two successive terms in the expansion (1+x)^24 whose coeff's are i...

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  13. The coefficients of three consecutive terms in the expansion of (1+x)^...

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  14. If the coefficients of 2nd, 3rd, 4th terms of (1+x)^n are in A.P. then...

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  15. If the coefficients of 5th, 6th, 7th terms of (1+x)^n are in A.P. then...

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  16. If the coefficients of x^9, x^10, x^11 in the expansion of (1+x)^n are...

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

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  18. If 28, 56, 70 are the successive coefficients of (1+x)^n then n=

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  19. If the first three terms of (1+ax)^n are 1,6x,16x^2 then (a, n)=

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  20. If the first three terms of (a+b)^n are 1, 14, 84 respectively then n=

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