Important Questions of Binomial Theorem Mathematics | Zigya

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 Multiple Choice QuestionsMultiple Choice Questions

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101.

If the middle term in the expansion of (1 + x)2n is the greatest term, then x lies in the interval

  • nn+ 1, n + 1n

  • n + 1n, nn + 1

  • (n - 2, n)

  • (n - 1, n)


102.

To find the coefficient of x4 in the expansion of 3xx - 2x - 1, the interval in which the expansion is valid, is

  •  - 2 < x < 

  •  - 12 < x < 12

  •  - 1 < x < 1

  •  -  < x < 


103.

Let α > 0, β > 0 be such that α3 + β2 = 4. If the maximum value of the term independent of x in the binomial expansion of αx19 + βx- 1610 is 10k, then k is equal to :

  • 176

  • 336

  • 352

  • 84


104.

If the term independent of x in the expansion of 32x2 - 13x9, then 18k is equal to:

  • 11

  • 5

  • 9

  • 7


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105.

If for some positive integer n, the coefficients of three consecutive terms in the binomial expansion of

(1 + x)n + 5 are in the ratio 5 : 10 : 14, then the largest coefficient in the expansion is :

  • 330

  • 252

  • 792

  • 462


 Multiple Choice QuestionsShort Answer Type

106.

The natural number m, for which the coefficient of x in the binomial expansion of xm + 1x222 is 1540, is


 Multiple Choice QuestionsMultiple Choice Questions

107.

If the constant term in the binomial expansion of x - kx210 is 405, then k = ?

  • 3

  • 2

  • 1

  • 9


108.

If 8!13! + 54! = Pr9, then the value of r is

  • 4

  • 5

  • 3

  • 2


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