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If m and n are positive integers, then p...

If m and n are positive integers, then prove that the coefficients of `x^(m) " and " x^(n)` are equal in the expansion of `(1+x)^(m+n)`

A

Unequal

B

Equal

C

reciprocal of each other

D

Assitive inverse of each other

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AAKASH INSTITUTE-BINOMIAL THEOREM-Assignment (section-A)
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  2. In the expansion of (x^(3)-2/x^(2))^(12), fifth term from the end is

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  3. If m and n are positive integers, then prove that the coefficients of ...

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  4. The number of terms in expansion of {(a+4b)^(3)(a-4b)^(3)}^(2) is

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  5. If r^(th) term in the expansion of (x^(2)+1/x)^(12) is independent of ...

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  6. The non zero terms in the expansion of (1+3sqrt(2)a)^(9)+(1-3sqrt(2)a)...

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  7. In the expansion of (2+1/(3x))^(n), the cofficient of x^(-7) and x^(-...

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  8. In in the expansion of (1+px)^(q), q belongs to N, the coefficients of...

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  9. The expansion of (x^(alpha)+1/x^(beta))^(n) has constant term, if

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  10. The number of rational terms in the expansion of ((25)^(1/3) + 1/(25)^...

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  11. The number of zeros at the end of (101)^(11)-1 is

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  12. In the expantion of (1+kx)^(4) the cofficient of x^(3) is 32, then th...

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  13. In the expansion of (3+x/2)^(n) the coefficients of x^(7) and x^(8) ar...

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  14. sqrt(5){(sqrt(5)+1)^(50)-(sqrt(5)-1)^(50)}

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  15. In expansion of (x+a)^(5), T(2):T(3)=1:3, then x:a is equal to

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  16. If the coefficient of x^7 in (ax^2+1/(bx))^11 is equal to the coeffici...

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  17. The middle term in the expansioin of (1+x)^(2n) is

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  18. Cofficient of x^(12) in the expansion of (1+x^(2))^50(x+1/x)^(-10)

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  19. The number of terms in expansion of (x^(2)+18x+81)^(15) is

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  20. The term independent of x in the expanion of (root(6)(x)-(2)/(root(3)(...

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