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If the coefficient of x^7 in (ax^2+1/(bx...

If the coefficient of `x^7` in `(ax^2+1/(bx))^11` is equal to the coefficient of `x^7` in `(ax-1/(bx^2))^11` then

A

0

B

1

C

-1

D

2

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If the coefficient of x^8 in (ax^2 + (1)/(bx))^13 is equal to the coefficient of x^(-8) in (ax - (1)/(bx^2))^13 , then a and b will satisfy the relation :

If the coefficient of x^7 in (x^2+1/(bx))^11 is equal to coefficient at x^-7 in (x+1/(bx^2))^11 Then find value of b

If the coefficient of x^(8) in (ax^(2) + (1)/( bx) )^(13) is equal to the coefficient of x^(-8) in (ax- (1)/( bx^(2) ) )^(13) , then a and b will satisfy the relation

If the coefficient of x^(10) in the expansion of (ax^(2)+(1)/(bx))^(11) is equal to the coefficient of x^(-10) in the expansion of (ax-(1)/(bx^(2)))^(11), find the relation between a and b,where a and bare real numbers.

If the coefficient of x^(7) in [ax^(2)-((1)/(bx^(2)))]^(11) equal the coefficient of x^(-7) in satisfy the [ax-((1)/(bx^(2)))]^(11), then a and b satisfy the relation a+b=1 b.a-b=1 c.b=1 d.(a)/(b)=1

Find the coeficients: (i)x^(7) in (ax^(2)+(1)/(bx))^(11)

Find the coefficient of x^(7) in the expansion of (ax^(2) + (1)/(bx))^(11) . (ii) the coefficient of x^(-7) in the expansion of (ax + (1)/(bx^2))^(11) . Also , find the relation between a and b , so that these coefficients are equal .

AAKASH INSTITUTE-BINOMIAL THEOREM-Assignment (section-A)
  1. sqrt(5){(sqrt(5)+1)^(50)-(sqrt(5)-1)^(50)}

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

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

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

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

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

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

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  8. The middle terms in the expansion of (1+x)^(2n+1) is (are)

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  9. (1.003)^(4) is nearby equal to

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  10. The nubmber of non - zeroes terns in the expansion of (1+sqrt(5))^(6)+...

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  11. The number of non -zeroes terms in the expansion of (sqrt(7)+1)^(75)-(...

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  12. The number of terms in the expansion if (a+b+c)^(12) is

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  13. Two consecutive terms in the expansion of (3+2x)^74 have equal coeffic...

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

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  15. Cofficient of x^(3)y^(10)z^(7) in expansion of (xy+yz)^(10) is

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  16. The ratio of coefficients x^(3) and x^(4) in the expansion of (1+x)^(1...

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  17. Given positive integers rgt1,ngt2 and the cofficients of (3r)^(th ) an...

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  18. Sum of all the digits of the coefficient of x^(5) in the expansion of ...

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  19. If (r+1)^(th) term in the expasnion of (a^(3)/3-2/a^(2))^(10) contains...

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  20. Find n and x in the expansion of (1 + x)^n, if the fifth term is four ...

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