Functions Question 461

Question: The domain of the function f(x)= $ \frac{1}{\sqrt{^{10}{C_{x-1}}-3{{\times }^{10}}C_{x}}} $ contains the points

Options:

A) $ 9,10,11 $

B) $ 9,10,12 $

C) All natural numbers

D) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

[d] Given function is defined if $ ^{10}{C_{x-1}}>3^{10}C_{x} $ or $ \frac{1}{11-x}>\frac{3}{x}or4x>33orx\ge 9 $ But $ x\le 10\therefore x=9,10 $