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Find the coefficients of x^7 in (a x^2+1...

Find the coefficients of `x^7` in `(a x^2+1/(b x))^(11)a n dx^(-7)in(a x^-1/(b x^2))^(11)` and find the relation between `aa n db` so that coefficients are equal.

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The correct Answer is:
`462 a^(6)b^(-5), 462 a^(5)b^(-6),ab=1`
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NAGEEN PRAKASHAN ENGLISH-BINOMIAL THEOREM-Exercise 8C
  1. Find the coefficient of x^(2).y^(7) in the expansion of (x+2y)^(9)

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  2. Prove that the ratio of the coefficient of x^10 in (1 - x^2)^10 & the ...

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  3. Prove that he coefficient of x^n in the expansion of (1+x)^(2n) is twi...

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  4. Find a positive value of m for which the coefficient of x^2 in the ex...

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  5. The sum of the coefficients of x^(32) and x^(-17) in (x^4- 1/(x^3))^15...

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  6. If the coefficient of x^(7)in [ax^(2) + (1/bx)]^(11) equals the coeffi...

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  7. about to only mathematics

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  8. Find the coefficient of x^(10) in the expansion of (1-x^(2))^(10)

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  9. about to only mathematics

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  10. Find the coefficient of x^(40) in the expansion of (1+2x+x^2)^(27)dot

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  11. If 'n' is a positive integer then prove that the coefficient fox^(m) i...

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  12. Find the term independent of x in ((3x^(2))/(2)-(1)/(3x))^(9)

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  13. Prove that the term independent of x in the expansin of (x+1/x)^(2n)i ...

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  14. Find the coefficient of a^5b^7in(a-2b)^(12)

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  15. Find the coefficient of x^(2).y^(7) in the expansion of (x+2y)^(9)

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  16. Prove that the ratio of the coefficient of x^10 in (1 - x^2)^10 & the ...

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  17. The coefficient of x^(n) in the expansion of (1 + x)^(2n) " and " (1 +...

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  18. Find a positive value of m for which the coefficient of x^(2) in the e...

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  19. Find the coefficients of x^(32)a n dx^(-7) in the expansion of (x^4-1/...

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  20. Find the coefficients of x^7 in (a x^2+1/(b x))^(11)a n dx^(-7)in(a x^...

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