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If ab ne 0 and the sum of the coefficien...

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

A

`a=b`

B

`a+b=0`

C

`ab=-1`

D

`ab=1`

Text Solution

Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-BINOMIAL THEOREM-EXERCISE 1A (BINOMIAL THEOREM WITH INTEGRAL INDEX)
  1. the number of irrational terms in (root(8)(5)+root(6)(2))^100 is

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  2. The sum of the coefficient of x^32 and x^-17 in (x^4-(1)/(x^3))^15 is

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  3. If ab ne 0 and the sum of the coefficient of x^7 and x^4 in the expans...

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

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

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  6. In the binomial expansion of (a-b)^n, n ge 5, the sum of 5th and 6th t...

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  7. If the coefficient of rth and (r+1)th terms in the expansion of (3+7x)...

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  8. If the coefficient of rth term and (r+1)th term in the expansion of (...

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  9. If in the expansion of (1-x)^(2n-1), the coefficient of x^r is denoted...

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  10. If the second term in the expansion (root(13)(a)+(a)/(sqrt(a^-1)))^(n)...

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  11. If the coefficient of x in (x^2+k//x)^5 is 270 then k=

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  12. If the coefficient of x^2 and x^3 in (3+kx)^9 are equal then k=

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  13. If the coefficient of x^7 and x^8 in (2+x//3)^n are equal then n=

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  14. If the coefficients of (2r+1)th term and (4r+5)th term in the expansi...

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  15. If the 5th term is 24 times the 3rd term in the expansion of (1+x)^11...

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  16. Prove that : If the coefficients of (2r+4)^("th") and (r-2)^("nd") te...

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  17. The ratio of the coefficient of x^15 to the term independent of x in (...

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  18. The ratio of the coefficient of x^10 in (1-x^2)^10 and the term of ind...

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  19. The two successive terms in the expansion (1+x)^24 whose coeff's are i...

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  20. The coefficients of three consecutive terms in the expansion of (1+x)^...

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