If f^ (x)=g(x) and g^ (x)=-f(x) V x and f(2)=4=f^ (2) , then f^ 2 (19)+g^ 2 (19) is
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
If \(f^{\prime}(x)=g(x) \text { and } g^{\prime}(x)=-f(x)\)\(\mathbf{V} \boldsymbol{x}\) and \(f(2)=4=f^{\prime}(2)\), then \(f^{2}(19)+g^{2}(19)\) is
- 16
- 32
- 64
- none of these
Answer
(D) none of these
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