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JEE Advanced 2015 Paper 2

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Question : 48

Total: 60

Let f:ℝ→ℝ be a continuous odd function,which vanishes exactly at one point and f(1)=

.Suppose that F(x)=

f(t)dt for all x∊[−1,2] and G(x)=

t|f(f(t))|dt for all x∊[−1,2].If

then the value of f(

) is

2
7
4
8

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