NDA Math Limit, Continuity and Differentiability

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Question : 6 of 105
 
Marks: +1, -0
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?
[NDA II 2022]
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