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If n be a positive integer and if the 3r...

If n be a positive integer and if the 3rd , 4th , 5th and 6th terms in the expansion of `(x+A)^(n)` ,when expanded in ascending powers of x , be , a , b ,c and d respectively , show that ,
`(b_(2)-ac)/(c^(2)-bd)=(5a)/(3c)` .

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CHHAYA PUBLICATION-BINOMIAL THEOREM -EXERCISE ( Long answer Type Questions )
  1. The three successive of the consecutive three terms in the expansion o...

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  2. If the coefficients of the consicutive four terms in the expansion of ...

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  3. If n be a positive integer and if the 3rd , 4th , 5th and 6th terms in...

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  4. Find the coefficient of x^(r) in the following expression : (x+n)^(...

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  5. If the first three terms in the expansion of (1+x)^(n) are in A .P . ,...

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  6. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show : C(1)...

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  7. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show : C(1)...

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  8. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show : (C(0...

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  9. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show : (C(0...

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  10. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show : C(0)...

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  11. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show : C(0)...

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  12. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show : (C(1...

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  13. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show : (C(0...

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  14. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show : (C(1)...

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  15. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show : C(0)...

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  16. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show : C(0)...

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  17. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show :

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  18. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show :

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  19. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show :

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  20. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+.....+C(n)x^(n) then show : 3.^(...

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