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For natural numbers m, n if (1-y)^m(1+y)...

For natural numbers m, n if `(1-y)^m(1+y)^n=1+a_1y+a_2y^2+....` and `a_1=a_2=10` then (m, n) is

A

45, 35

B

35, 45

C

20, 45

D

35, 20

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The correct Answer is:
B
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PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
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  3. For natural numbers m, n if (1-y)^m(1+y)^n=1+a1y+a2y^2+.... and a1=a2=...

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  5. The coefficient of a^3b^4c in the expansion of (1+a-b+c)^9 is equal to

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  6. The remainder when 9^(103) is divided by 25 is equal to

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  7. If (3+x^(2008)+x^(2009))^(2010)=a0+a1x^2+....+anx^n, a0-1/2 a1-1/2 a2+...

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  8. The coefficient of x^ny^n in the expansion of {(1+x)(1+y)(x+y)}^n is

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  9. The remainder when x=5^(5^(5^(......))) (23 times 5) is divided by 24 ...

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  10. For integer n gt 1, the digit at units place in the number sum(r=0)^(1...

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  11. In the expansion of (1+x+x^2+x^3)^6, the coefficient of x^(14) is

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  12. The coefficient of x^(3l+2) in the expression (a+x)^l(b+x)^(l+1)(c+x)^...

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  14. The digit in the unit place in the number (19)^(2005)+(11)^(2005)-(9)^...

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  15. If n lt p lt 2n and p is prime and N = .^(2n)Cn, then

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  16. If absx lt 2/3 then the 4^(th) term in the expansion of (1+3/2x)^(1/2)...

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  17. The sum of rational in (sqrt2+root(3)(3)+root(6)(5))^10 is equal to

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  18. Let f(x)=a0+a1x+a2x^2+.....+anx^n+....and f(x)/(1-x)=b0+b1x+b2x^2+.......

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  19. If (1-x^2)^n=sum(r=0)^narx^r(1-x)^(2n-r), then ar is equal to

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

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