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

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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The correct Answer is:
`462 a^(6)b^(-5), 462 a^(5)b^(-6),ab=1`

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

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

the coefficient of x^(7) in (ax - b^(-1) x^(-2))^(11) is

If the coefficient of x^10 in (ax^2 + (1)/(bx))^11 is equal to the coefficient of x^(-10) in (ax - (1)/(bx^2))^11 then show that ab = -1

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

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

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

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 .

Find the coefficient of x^-7 in the expansion of (2x-1/(3x^2))^11 .

The coefficient of x^4 in (1+x+x^2+x^3)^11 is

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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