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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)=\begin{cases} a x(x+1)+b & & x<1 \\ x-1 & & 1 \le x \le 2 \end{cases}.

[NDA II 2023]

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Question : 63 of 120

Marks: +1, -0

If the function

f(x)

is differentiable at

x=1

, then what is the value of

(a+b)

$-\;\frac{1}{3}$
-1
0
1

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