UPSC NDA II 2023 Mathematics Solved Paper

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Consider the following for the next two (02) items that follow :
Let f(x)={
‌
x−3
|x−3|
+a;‌
x<3
a−b;‌x=3‌ and ‌
‌
x−3
|x−3|
+b;‌
x>3
.
f(x) be continuous at x=3.
[NDA II 2023]
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Question : 60 of 120
 
Marks: +1, -0
What is the value of b ?
[NDA II 2023]
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