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UPSC NDA I 2016 Mathematics Solved Paper

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For the next two (2) items that follow :
A function f(x) is defined as follows:

f(x)={

x+π

for

x∊[−π,0)

π‌cos‌x

for

x∊[0,

π

2

]

(x−

π

2

)2

for

x∊(

π

2

,π]

[NDA I 2016]

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Question : 55

Total: 120

Consider the following statements
1.The function f(x) is differentiable at x=0.
2. The function f(x) is differentiable at x=

.
Which of the above statements is/are correct?

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

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