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If the coeff. of x in (x^(2)+(k)/(x))^(...

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

A

3

B

4

C

5

D

2

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The correct Answer is:
A
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HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. The term containing x^(3) in the expansion (sqrt(x^(5))+(3)/(sqrt(x...

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  2. The coefficient of x^(4) in ((x)/(2)-(3)/(x^(2)))^(10) is

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

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  4. The coefficients of x^(n) in the expansion of (1+x)^(2n) and (1+x)^(2n...

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  5. If the coefficients of the middle term of (1+x)^(2n+2) is p and the co...

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  6. The term independent of x in (2 x^(1 / 2)-3 x^(-1 / 3))^(20) is

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  7. The term independent of x in the expansion (sqrt(x)-(2)/(x))^(18)...

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  8. In the expansion (sqrt(x)-(2)/(x))^(18) the term independent of x ...

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  9. The term independent of x in the expansion of (1+x)^(n)(1-(1)/(x))^(n)...

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  10. Constant term in the expansion of (x-(1)/(x))^(10) is

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  11. Find the middle term of (x- ( 1) /( x)) ^( 16)

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  12. If the coefficients of x^(7) and x^(8) in (2+(x)/(3))^(n) are equal, t...

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  13. In the expansion of (1+x)^(11) , the 5^(th ) term is 24 times the 3...

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  14. If (T(2))/(T(3)) is the expansion of (a+b)^(n) and (T(3))/(T(4)) in ...

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  15. If in the expansion (1+x)^(n) the 5^(th ) term is 4 times the 4^(th)...

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  16. Ratio of 3^(rd) and 4^(th) terms of (x+(2)/(3 x^(2)))^(7) is

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  17. If T, denotes the r^(th) term in the expansion of (x+(1)/(y))^(23)...

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  18. In the expansion of (1+x)^(10) the coefficient of (2 r+1)^(th) term...

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  19. If the coefficient of x^(7) in [ax^(2)+((1)/(bx))]^(11) equals the coe...

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

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