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The greatest value of the term independe...

The greatest value of the term independent of x in the expansion of `(x sin p +x^(-1) cos p)^(10), p in R` is

A

a) `2^(5)`

B

b) `(10!)/(2^(5)(5!)^(2))`

C

c) `(10!)/((5!)^(2))`

D

d) None of these

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The term independent of x in the binomial expansion of (x+(2)/(x^(3)))^(20) is

    A
    `({:(20),(5):})2^(15)`
    B
    `({:(20),(15):})2^(10)`
    C
    `({:(20),(10):})2^(5)`
    D
    `({:(20),(5):})2^(5)`

  • The term independent of x in the expansion of (x+(1)/(x^(2)))^(6) is a)20 b)15 c)6 d)1

    A
    20
    B
    15
    C
    6
    D
    1

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