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Functions question

2014 · Shift 1 · Q33

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PYQ Library
JEE Advanced
Mathematics
Functions
2014 · Shift 1 · Q33

Functions question

2014 · Shift 1 · Q33

JEE AdvancedMathematicsFunctionsMultiple correct+3 / −1

For every pair of continuous function 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)

A
[f(c)]2 + 3f(c) = [g(c)]2 + 3g(c) for some c $\in$ [0, 1]
B
[f(c)]2 + f(c) = [g(c)]2 + 3g(c) for some c $\in$ [0, 1]
C
[f(c)]2 + 3f(c) = [g(c)]2 + g(c) for some c $\in$ [0, 1]
D
[f(c)]2 = [g(c)]2 for some c $\in$ [0, 1]

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