1.

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

Answer»

`(f( C))^(2) + 3F( c) = (g(c ))^(2) + 3G( c)` for some `c in [0,1]`
`(f( c))^(2) + f( c) = (g( c))^(2) + 3g (c )` for some `c in [0,1]`
`(f(c ))^(2) + 3f (c ) = (g( c))^(2) + g( c)` for some `c in [0,1]`
`(f( c))^(2) = (g( c))^(2)` for some `c in [0,1]`

Answer :A::D


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