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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)={

ax(x+1)+b	‌	x<1
x−1	‌	1≤x≤2

.

[NDA II 2023]

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Question : 63

Total: 120

If the function f(x) is differentiable at x=1, then what is the value of (a+b) ?

−‌
1
3
-1
0
1

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