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The domain of the function f(x)=(1)/(sqr...

The domain of the function `f(x)=(1)/(sqrt(""^(10)C_(x-1)-3xx""^(10)C_(x)))` is

A

`{9,10,11}`

B

`{9,10,12}`

C

all natural numbers

D

`{9,10}`

Text Solution

Verified by Experts

The correct Answer is:
D
Given function is defined if ` "''^(10)C_(x-1) gt 3""^(10)C_(x)`
or `(1)/(11-x) gt (3)/(x) " or " 4x gt 33`
or `x ge 9`
But `x le 10`
` :. x=9,10`
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