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UPSC NDA I 2016 Mathematics Solved Paper

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For the next two (2)items that follow :
Consider the function
f(x)=

27(x

2

3

−x)

4

[NDA I 2016]

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Question : 14

Total: 120

How many solutions does the function f(x) = 1 have ?

One
Two
Three
Four

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