UPSC NDA 2 2022 Mathematics Solved Paper

Question : 88 of 120

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?