For every pair of continuous function f,g:[0,1]\to\mathbb{R} such that max \{f(x):x∊[0,1]\}=\max\{g(x):x∊[0,1]\} th correct statement(s) is (are ) [JEE Adv 2014 P1]

(f(c))^2+3f(c)=(g(c))^2+3g(c) for some c ∊[0,1]

(f(c))^2+f(c)=(g(c))^2+3g(c) for soem c∊[0,1]

(f(c))^2+3f(c)=(g(c))^2+g(c) for some c∊[0,1]

(f(c))^2=(g(c))^2 for some c∊[0,1]

Functions

Section: Mathematics

Question : 20 of 30

Marks: +1, -0

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]} th correct statement(s) is (are )

[JEE Adv 2014 P1]

Go to Question:

Prev Question

Next Question