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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy
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Application +4 | -1
f(x)f(x) and g(x)g(x) are two differentiable functions on [0,2][0,2] such that fβ€²β€²(x)βˆ’gβ€²β€²(x)=0,fβ€²(1)=2gβ€²(1)=4f(2)=3g(2)=9f^{\prime \prime}(x)-g^{\prime \prime}(x)=0, f^{\prime}(1)=2 g^{\prime}(1)=4 f(2)=3 g(2)=9 then f(x)βˆ’g(x)f(x)-g(x) at x=3/2x=3 / 2 is
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Correct option: D
5
Option D (5) is correct because by integrating twice and using the given conditions, we can find the value of f(x) - g(x) at x=3/2.

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