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UPSC NDA I 2016 Mathematics Solved Paper

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For the next three (3) items that follow :
Let f:ℝ→ℝ be function such that

f(x)=x3+x2f′(1)+xf′′(2)+f′′′(3)

for x∊ℝ

[NDA I 2016]

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Question : 64

Total: 120

Consider the following :
1. f(2)=f(1)−f(0)
2. f"(2)−2f′(1)=12
Which of the above is/are correct?

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

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