UPSC NDA I 2015 Mathematics Solved Paper

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For the next two (2) items that follow :
Consider the function
f(x)={
αcosx
π−2x
ifx≠
Ï€
2
3ifx=
Ï€
2

which is continuous at x=
Ï€
2
,where α is a constant.
[NDA I 2015]
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Question : 74 of 120
 
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What is the value of α ?
[NDA I 2015]
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