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In the binomial expansion of (a+b)^n , c...

In the binomial expansion of `(a+b)^n` , coefficients of the fourth and thirteenth terms are equal to each other. Find `n` .

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RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
  1. If the third term in the expansion of (1/x+"""x"(log)(10 x))^5 is 1000...

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  2. In the binomial expansion of (1+x)^n , coefficients of the fifth, sixt...

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  3. In the binomial expansion of (a+b)^n , coefficients of the fourth and ...

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  4. The value of term independent of x in (sqrt(x)+a/(x^2))^(10) is .

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  5. If n is a positive integer, prove that 3^(3n)-26n-1 is divisible by 67...

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  6. Using binomial theorem, prove that 3^(2n+2)-8^n-9 is divisible by 64 ...

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  7. For what value of x is the ninth term in the expansion of (3^(log3 sqr...

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  8. If the fourth term in the expansion of {sqrt(1/("""x^log(x+1)"}'+1/(x^...

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

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  10. If the coefficient of (2r+4)th and (r-2)th terms in the expansion of ...

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  11. Find the value of alpha for hich the coefficients of the middle terms ...

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  12. If the term free form x in the expansion of (sqrt(x)-m/(x^(2)))^(10) i...

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  13. Find the 5th term in the expansion of (1+x^2)^12

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  14. Find the 2nd term in the expansion of (1+x)^12

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  15. Find the total number of the terms in expansion of (1-3x+3x^2-x^3)^8do...

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  16. Find the 111th term in the expansion of (1+3x)^111.

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  17. Find the number of terms in the expansion of (a+b)^8dot

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  18. Write last two digits of the number 3^(400)dot

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  19. Find the total number of terms in the expansion of (x^(3/2)+x^(1/2))^(...

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  20. If n is a positive integer, find the coefficient of x^(-1) in the expa...

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