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

If the coefficient of `x^7` in `(ax^2+(1)/(bx))^11` equals the coefficient of `x^-7` in `(ax-(1)/(bx^2))^11`, then a and b satisfy the relation

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If ab ne 0 and the sum of the coefficient of x^7 and x^4 in the expansion of ((x^2)/(a)-(b)/(x))^11 zero, then

AAKASH SERIES-BINOMIAL THEOREM-SOLVED EXAMPLES
  1. Find the coefficient of x^7 in (1 - x - x^2 + x^3)^6

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  2. If the coefficients of (2r+4)^("th") term and (3r+4)^("th") term in th...

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  3. If the coefficient of x^7 in (ax^2+(1)/(bx))^11 equals the coefficient...

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  4. Find the term independent of x in the expansion of ( sqrt(x / 7) - (sq...

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  5. the tern independent of x in (1+x +2x^2)(3x^2//2-1//3x)^9 is

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  6. Find the middle term (s) in the expansion of (4a+(3)/(2)b)^(11)

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  7. Show that the middle term in the expansion of (1+x)^(2n)" is "(1.3.5. ...

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  8. Find the numerically greatest terms in the expansion of (3 + 2a)^15 ...

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  9. If (3 + 7x - 9x^2)^n = a0 +a1x + a2 x^2 + ……+a(2n)x^(2n) prove the a0 ...

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  10. If (3 + 7x - 9x^2)^n = a0 +a1x + a2 x^2 + ……+a(2n)x^(2n) prove the a0 ...

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  11. If (1+3x-2x^(2))^(10)=a(0)+a(1)x+a(2)x^(2).+…+a(20)x^(20) then prove t...

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  12. If (1+3x-2x^(2))^(10)=a(0)+a(1)x+a(2)x^(2).+…+a(20)x^(20) then prove t...

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  13. If (1 + 3x - 2x^2)^10 = a0 + a1x + a2x^2 +…..+a20 x^20 thn prove that ...

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  14. If (1 + 3x - 2x^2)^10 = a0 + a1x + a2x^2 +…..+a20 x^20 thn prove that ...

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  15. If the 2^("nd"),3^("rd")" and "4^("th") terms in the expansion of (a+x...

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  16. If the coefficients of x^(9),x^(10),x^(11) in expansion of (1+x)^(n) a...

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  17. If n is a positive integer, then prove that 81^n + 20 n - 1 is divisib...

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  18. Using binomial theorem, prove that 5^(4n)+52n-1 is divisible by 676 fo...

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  19. 3. C0 + 7. C1 + 11. C2 +…...+ (4n+3) . Cn=

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  20. With usual notations find the value of 3.C1 + 5.C2 + 7.C3 + ……….+n ter...

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