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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
If f:R→R,g:R→Rf: R \rightarrow R, g: R \rightarrow R be twice differentiable function satisfying f11(x)=g11(x)f^{11}(x)=g^{11}(x), 2f1(1)=g1(1)=42 f^1(1)=g^1(1)=4 and 3f(2)=g(2)=93 f(2)=g(2)=9 then f(4)−g(4)=f(4)-g(4)=
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Correct option: C
-10
Option C (-10) is correct because it is the value obtained by solving the differential equation f11(x)=g11(x)f^{11}(x)=g^{11}(x) with the given initial conditions and evaluating f(4)−g(4)f(4)-g(4).

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