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UPSC NDA 2 2016 Mathematics Solved Paper

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Consider the following for the next three (03) items that follow:
Let f(x)={

−2,	−3≤x≤0
x−2,	0<x≤3

and g(x)=f(|x|)+|f(x)|

[NDA II 2016]

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Question : 88 of 120

Marks: +1, -0

Which of the following statements is/are correct?
1. g(x) is differentiable at x=0.
2. B(x) is differentiable at x=2.
Select the correct answer using the code given below:

1 only
2 only
Both 1 and 2
Neither 1 nor 2

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