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The coefficient of x^(4) in the expansio...

The coefficient of `x^(4)` in the expansion of `(x/2-3/x^(2))^(10)` is

A

`504/259`

B

`405/256`

C

`450/263`

D

`540/295`

Text Solution

Verified by Experts

The correct Answer is:
B
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NEW JOYTHI PUBLICATION-BINOMIAL THEOREM-EXERCISE
  1. The coefficient of x^(4) in the expansion of (x/2-3/x^(2))^(10) is

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  2. The coefficient of x^(4) in the expansion of (1 + x + x^(2))^(3) is

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  3. The coefficient of x^(4) in the expansion of (1 + x + x^(2) + x^3)^(11...

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  4. The constant term in the expansion of (x -2/x^(2))^(9) is

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  5. The term independent of x in the expansion of (3/2x^(2) - 1/(3x))^(9) ...

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  6. If |x| lt 1, then the coefficient of x^(5) in the expansion of (1+ 2x ...

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  7. The coefficient of x^(n) in the expansion of (1 - 9x + 20x^(2))^(-1) i...

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  8. The middle term in the expansion of (x/3-2/sqrt(x))^(6) is

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  9. The number of terms in the expansion of (1 + 5sqrt(2)x)^(9) + (1 - 5sq...

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  10. The number of terms in the expansion of (x + a)^(100) + (x - a)^(100) ...

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  11. If the 21^(st) and 22^(nd) terms in the expansion of (1 + x)^(44) are ...

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  12. In the expansion of (1 + x)^(50) the sum of the coefficients of the od...

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  13. If the sum of the coefficients in the expansion of (1 -3x + 10x^2)^(n)...

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  14. If (1 - x)^(n) = C(0) + C(1)x + C(2)x^(2) + ......... + C(n)x^(n), the...

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  15. The value of C(n, 0) - C(n, 1) + C(n, 2) - C(n, 3) +.......+(-1)^(n)C(...

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  16. C(1) + 4.C(2) + 7.C(3) +......+(3n - 2).C(n) =

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  17. When x is large sqrt(1 + x^(2)) is nearly equal to

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  18. When x is small, sqrt(1 + 2^(x)) is nearly equal to

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  19. The value of (1.01)^(-2) correct to two decimal place is

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  20. Find the value of e^(2), rounded off to one decimal place.

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