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In the expansion of (1 + x)^(2n)(n in N)...

In the expansion of `(1 + x)^(2n)(n in N)`, the coefficients of
`(p +1)^(th) and (p+3)^(th)` terms are equal, then

A

`n - r+1 = 0`

B

`n-r -1=0`

C

`n+r +1 =0`

D

none of these

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-BINOMIAL THEOREM AND ITS APPLCIATIONS -Exercise
  1. Find the sum of coefficients in the expansion of the binomial (5p -...

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  2. If the sum of the coefficients in the expansion of (1-3x+10 x^2)^ni sa...

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  3. In the expansion of (1 + x)^(2n)(n in N), the coefficients of (p +1...

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  4. Write the coefficient of the middle term in the expansion of {(x+y^3)^...

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  5. The coefficient of x^5 in the expansion of (1+x^2)(1+x)^4 is (a) 12 (b...

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  6. If the coefficients of r^(th) and (r+1)^(th)terms in expansion of (3+7...

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  7. If there is a term containing x^(2r) in (x + (1)/(x^(2)))^(n-3), then

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  8. If n is an even positive integer, then find the value of x if the grea...

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  9. The interval in which x must lie so that the numerically greatest t...

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  10. If the coefficients of rth, (r + 1)th and (r + 2)th terms in the expan...

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  11. Find the remainder when 5^(99) is divided by 13.

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  12. If Co C1, C2,.......,Cn denote the binomial coefficients in the expans...

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  13. If C(0), C(1), C(2), ..., C(n) denote the binomial cefficients in t...

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  14. Let (1 + x)^(n) = sum(r=0)^(n) C(r) x^(r) and , (C(1))/(C(0)) + 2 (...

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  15. Find the sum 3 .^(n)C(0) - 8 .^(n)C(1) + 13 .^(n)C(2) - 18 xx .^(n)C(...

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  16. If (1 + x)^(n) = C(0) + C(1)x + C(2) x^(2) + …+ C(n) x^(n), then for n...

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  17. If (1+x)^(n) = C(0) + C(1) xm + C(2)x^(2) + "……" + C(n)x^(n), then ...

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  18. Find the sum 2C0+(2^3)/2C1+(2^3)/3C2+(2^4)/4C3++(2^(11))/(11)C(10)dot

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  19. Prove that ""^(m+n)C(r) = ""^(m)C(r) + ""^(m)C(r-1) + ""^(n)C(1) +...

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  20. Find the value of 1/(81^n)-(10)/(81^n)^(2n)C1+(10^2)/(81^n)^(2n)C2-(10...

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