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If the coefficient of (r +1)^(th) term ...

If the coefficient of `(r +1)^(th)` term in the expansion of
`(1 +x)^(2n)` be equal to that of `(r + 3)^(th)` term , then

A

`(x^(r ))/( r!)`

B

`((r+1)(r+2)(r+3))/(6)`

C

`((r+2)(r+3))/(2)x^(r )`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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DISHA PUBLICATION-BINOMIAL THEOREM -EXERCISE-1 (CONCEPT BUILDER )
  1. If the sum of the coefficients in the expansion of (1 + 2x)^(n) is...

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  2. The coefficient of the term independent of x in the exampansion of ((x...

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

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  4. In the binomial expansion of (a - b)^(n) , n ge 5 , the sum of the ...

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  5. If r^(th)term in the expansion of (x/3-2/x^2)^(10)contains x^4, then f...

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  6. If t(1) is the rth term in the expansion of (1+x)^(101), then what is ...

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  7. The middle term in the expansion of (1+(1)/(x^(2)))^(n) ( 1+x^(2))^(n)...

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  8. I three consecutive coefficients in the expansion of (1+x)^n are in th...

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  9. If the middle term in the expansion of (x^2+1//x)^n is 924 x^6, then f...

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  10. If the middle term in the expansion of ((1)/(x)+x sinx)^(10) is equal ...

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  11. Third term in expression of (x + x^(log(10)x))^(5) is 10^(6) than poss...

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  12. If x is positive, the first negative term in the expansion of (1+x)^(2...

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  13. What is the coefficient of x^(3)y^(4)" in "(2x+3y^(2))^(5) ?

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  14. If the fourth term in the expansion of (a x+1/x)i s5/2,\ then find th...

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  15. The number of real negavitve terms in the binomial expansion of (1 ...

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  16. The numberof integral termsin the expansion of (qrt(3)-root(8)(5))^256...

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  17. Prove by induction that the integer next greater than (3+sqrt(5))^n is...

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  18. The value of x in the expression (x+x^((log)(10)))^5 if third term in ...

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  19. If the 6th term in the expansion of [1/x^(8/3)+x^2 log10 x]^8 is 5600...

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  20. The sum of the rational terms in the binomial expansion of (2^((1)/(2)...

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