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

If in the expansion of `(1+x)^(m)(1-x)^(n)` the coefficients of x and `x^(2)` are 3 and -6 respective then m is

A

6

B

9

C

12

D

21

Text Solution

Verified by Experts

The correct Answer is:
C
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HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. Let nge5 and bne0. In the binomial expansion of (a-b)^(n), the sum of ...

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  2. The coefficient of x^(53) is sum(r=0)^(100) 100 C(r).(x-3)^(100-r). ...

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

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  4. Coefficient of t^(24) in (1+t^(2))^(12)(1+t^(12))(1+t^(24)) is:

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  5. In the expansion of (1+x)^(50), the sum of the coefficients of odd pow...

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  6. Given the integers rgt1,ngt2 and coefficients of (3r)th and (r+2)nd te...

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  7. The coefficient of the term independent of x in the expansion of (sqrt...

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  8. The coefficient of x^(4) in the expansion of ((x)/(2)-(3)/(x^(2)))^(...

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  9. In the expansion of (1+x)^(n) , coefficients of 2^(text (nd )) 3^(r...

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  10. The coefficients of x in the expansion of (x^(2)+(c)/(x))^(5) is equ...

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  11. The total number of terms in the expansion of (x+y)^(100)+(x-y)^(100) ...

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  12. If the coefficients of r^(th) and (r+1)^(th) terms in the expansion o...

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  13. If (1+x-2 x^(2))^(6)=1+a(1) x+a(z) x^(2)+l .. .+a(12) x^(12) then a(2...

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  14. If the sum of the coefficients in the expansion of (x+y)^n is 1024 ...

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  15. The coefficient of (1)/(x) in the expansion of ((1)/(x)+1)^(n)(1+x)^...

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  16. Coefficient of x in the expansion of (x^(2)+(a)/(x))^(5)

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  17. In the expansion of (x^(2)+(2)/(x))^(n) for positive integer n has a t...

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  18. Let (1+x^(2))^(2)(1+x)^(n) = sum(k=0)^(n+4) a(k) x^(k) . If a(1) , a...

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  19. The value of C(0)+3C(1)+5C(2)+7C(3)+ . . .+(2n+1)C(n) is:

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  20. The largest term in the expansion of (3+2x)^(50) where x=1/5 is:

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