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Which term in the expansion of (1+x)^(p)...

Which term in the expansion of `(1+x)^(p).(1+(1)/(x))^(q)` is independent of x where p , q are positive integers ? What is the value of that term ?

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The correct Answer is:
`(q+1)"th term" =((p+q)!)/(p!q!)`
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CHHAYA PUBLICATION-BINOMIAL THEOREM -EXERCISE ( short answer Type Questions )
  1. Find the term independent of x in each of the following expansions : ...

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  2. Find the term independent of x in each of the following expansions : ...

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  3. Which term in the expansion of (1+x)^(p).(1+(1)/(x))^(q) is independen...

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  4. Examine whether or not there is any term independent of x in the expan...

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  5. Examine whether or not there is any term containing x^(10) in the expn...

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  6. If the coefficient of x^(3) in the expansion of (x^(2) + (k)/(x))^(6) ...

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  7. If the term free from x in the expansion of (sqrt(x)-sqrt(m)/(x^(2)))^...

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  8. If the 21st and 22nd terms in the expansion of (1+x)^(44) are equal , ...

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  9. If the coefficient of x^(r)andx^(r+1) are equal in the expansion of (1...

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  10. In the expansion of (1+x)^(20) , the coefficient of the rth term is to...

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  11. If in the expansion of (1+x)^(43) ,the coefficient of (3r+1)th term be...

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  12. prove that the coefficient of the (r +1)th term in the expansion of (...

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  13. Show that the middle term in the expansion of (x+1)^(2n)" is " (1.3.5....

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  14. Show that the coefficient of the middle term of (1+x)^(2m) is equal to...

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  15. Show that the coefficient of the middle term in the expansion of (1+x...

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  16. If the coefficients of (p +1) th and (p+3)th terms in the expansion of...

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  17. Let n ge 5 b ne0, if in the binomial of (a-b)^(n), the sum of the 5th...

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  18. If the coefficients of x^(2) and x^(11) in the expansion of (1+ax+2x^(...

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  19. If in the expansion of (1+x)^(m)(1-x)^(n) the coefficients of xandx^(...

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  20. Use binomial theorem to show that if nge1 is an integer then , (a) ...

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