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The coefficient of x^3 in (1-4x)^(1//2) ...

The coefficient of `x^3` in `(1-4x)^(1//2)` is

A

`-4`

B

2

C

`-8`

D

12

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The correct Answer is:
A
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AAKASH SERIES-BINOMIAL THEOREM-PRACTICE EXERCISE
  1. (C0)/(1) + (C2)/(3) + (C4)/(5) + ……+(C16)/(17) =

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  2. (C1)/(2) + (C3)/(4) + …….+(C15)/(16)=

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  3. The coefficient of x^3 in (1-4x)^(1//2) is

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  4. The range of x for which the expansion of (1-3/x)^(-3//4) is valid is

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  5. The range of x of which the expansion of (2-3x^2)^(-11/2)is valid is

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  6. The fifth term of (1 - (2x)/(3))^(3//4) is

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  7. For |x| lt 1, the (r + 1)^(th) term in the expansion of sqrt(1 - x) is

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  8. The general term of (2a - 3b)^(-1//2) is

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  9. In the expansion of (1+x+x^2+x^3+…..oo)^3, coefficient of x^3 is

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  10. In the expansion of (1-2x+3x^2 -4x^3+…."to")^4 coefficient of x^2 is

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  11. The coefficient of x^24 in (1+3x+6x^2 + 10x^3 + ……oo)^(2//3) is

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

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  13. The coefficient of x^9 in the expansion of (1-5x)/(1+x) is

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

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  15. For |x| lt 1, the coefficient of x^r in the expansion of ((1+x)^2)/((1...

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  16. If x = 1 + 3a + 6a^2 + 10 a^3 + ……" to " oo terms |a| lt 1, y = 1+4a+1...

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  17. Prove that : If |x| is so small that x^(2) and higher powers of x may ...

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  18. If |x| is so small that all terms containing x^2 and higher powers of ...

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  19. If x = (1*3)/(3*6)+(1*3*5)/(3*6*9)+(1*3*5*7)/(3*6*9*12)+. . . to in...

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  20. 1-(1)/(5)+(1.4)/(5.10) - (1.5.7)/(5.10.15)+…..=

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