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UPSC NDA 2 2022 Mathematics Solved Paper

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Question : 88

Total: 120

Let f(x) be a function such that f′(x)=g(x) and f′′(x)=−f(x). Let h(x)={f(x)}2+{g(x)}2. Then consider the following statements :
1. h′(3)=0
2. h(1)=h(2)
Which of the statements given above is/are correct?

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

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