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The coefficient of x^(-10) in the expans...

The coefficient of `x^(-10)` in the expansion of `(x^2-1/x^3)^10` is

A

-252

B

210

C

`-(5!)`

D

-210

Text Solution

Verified by Experts

The correct Answer is:
B
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PATHFINDER-BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION-QUESTION BANK
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  2. if the coefficients of x^7 & x^8 in the expansion (2+x/3)^n are equal ...

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  3. The coefficient of x^(-10) in the expansion of (x^2-1/x^3)^10 is

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  4. If a1, a2 are the coefficients of x^n in the expansion of (1+x)^(2n) &...

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  5. The coefficient of x^(10) in the expansion of 1+(1+x)+(1+x)^2+.....+(1...

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  6. The sum of the coefficients of the terms of the expansion of (3x-2y)^n...

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  7. The coefficient of the middle term of the expansion of (1-2x+x^2)^n is

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  8. The sum of the coefficients in the expansion of (1-2x+2x^2)^(2014) is

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  9. The middle term of the expansion of (4x+5y)^18 is

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  10. The value of (^8C1+^8C2+^8C3+....+^8C8) is

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  11. The value upto 3 decimal place of (0.999)^3 is (applying Binomial Theo...

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  12. Find the 10th term of (2x^2+1/x)^12.

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  13. If rth term in the expansion of (x+1/x)^10 is independent of x, then f...

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  14. Find the middle term in the expansion of (x-1/(2y))^10.

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  15. find the value of (99)^4.

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  17. If the 3rd term in the expansion of (1/x+x^(log(10)x))^5 is 1000, then...

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  18. Determine the constant term in the expansion of (x^3-1/x^2)^15.

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  19. Find the coefficient of x^20 in the expression of (1+x^2)^40(x^2+2+1/x...

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  20. Find the term independent of x in the expansion of (sqrtx+1/(3x^2))^10...

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