JEE Advanced 2014 Paper 1 Mathematics Q2

Mathematics

Problem

For every pair of continuous functions f,g:[0,1]→Rf,g:[0,1]\to\mathbb R such that max⁡{f(x):x∈[0,1]}=max⁡{g(x):x∈[0,1]}\max\{f(x):x\in[0,1]\}=\max\{g(x):x\in[0,1]\}, the correct statement(s) is(are):

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