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Binomial Theorem Test - 5

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Binomial Theorem Test - 5
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  • Question 1
    1 / -0

    If n is a rational number, which is not a whole number, then the number of terms in the expansion of (1+x)n,|x|<1, is


    Solution

  • Question 2
    1 / -0

    The term containing x3 in the expansion of (x−2y)7 is

    Solution

  • Question 3
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    In the expansion of (1 + x)2n + 1, let the coefficients of xr and xr + 1 be equal. Then, the value of r is
  • Question 4
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    The exponent of  x occurring in the 7th term of expansion of (3x/2−8/7x)9 is

    Solution

  • Question 5
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    The greatest coefficient in the expansion of (x1 + x2 + x3 + x4 + x5)13 is
  • Question 6
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    The largest term in the expansion of (1+x)19 when x=12 is

    Solution

  • Question 7
    1 / -0
    10C1 + 10C3 + 10C5 + 10C7 + 10C9 is equal to
  • Question 8
    1 / -0
    The term independent of x in is
  • Question 9
    1 / -0

    If the first three terms in the expansion of (x+a)n are 729, 7290 and 30375 respectively, then the value of n is

    Solution

  • Question 10
    1 / -0
    The sum of the coefficients of the polynomial (1 + x - 3x2)2143 is
  • Question 11
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    The two consecutive terms in the expansion of (3+2x)74, which have equal coefficients, are


    Solution

  • Question 12
    1 / -0
    {nC1 + 2 nC2 + 3 nC3 + …….. + n nCn} is equal to 
  • Question 13
    1 / -0
    How many middle terms are there in the expansion of (a + b)7?
  • Question 14
    1 / -0
    The third, fourth and fifth terms in the expansion of (x + a)n are 84, 280 and 560, respectively. Find the value of n.
  • Question 15
    1 / -0
    If A and B are the coefficients of xr and xn – r, respectively, in the expansion of (1 + x)n, then
  • Question 16
    1 / -0
    The coefficient of x5 in the expansion of (1 + x)21 + (1 + x)22 + ……… + (1 + x)30 is
  • Question 17
    1 / -0
    What is the value of (1 + i)6 + (1 – i)6?
  • Question 18
    1 / -0

    If n is a +ve integer, then the binomial coefficients equidistant from the beginning and the end in the expansion of (x+a)n are

    Solution

  • Question 19
    1 / -0

    The coefficient of  1/x17 in the expansion of (x4−1/x3)15 is

    Solution

  • Question 20
    1 / -0
    The middle term in the expansion of is
  • Question 21
    1 / -0

    The number of dissimilar terms in the expansion of (a+b+c)12 is

    Solution

  • Question 22
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    The total number of terms in the expansion of (x + k)100 + (x – k)100 after simplification is
  • Question 23
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    If the third term in the binomial expansion of (1 + x)m is x2, then the rational value of m is
  • Question 24
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    Using the binomial theorem, find the value of (99)4.
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