For every pair of continuous function f , g : [0, 1] → R such that max f ( x ) : x ∈ [0…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
For every pair of continuous function f, g : [0, 1] → R such that max {f (x) : x ∈ [0, 1]} = max{g(x) : x ∈ [0, 1]},
the correct statement(s) is(are):
the correct statement(s) is(are):
- (f (c))2 + 3f (c) = (g(c))2 + 3g(c) for some c
- (f (c))2 + f (c) = (g(c))2 + 3g(c) for some c
- (f (c))2 + 3f (c) = (g(c))2 + g(c) for some c
- (f (c))2 = (g(c))2 for some c
Answer
(A) ( f ( c )) 2 + 3 f ( c ) = ( g ( c )) 2 + 3 g ( c ) for some c ∈ [0, 1]
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