IIT JEE 2009 P1 Q24

let f be a non negetive functin defined on the interval [0.1]. If

0∫x1-(f'(t))2 = 0∫xf(t)dt.. 0≤x≤1

and f(0)=0

then

A) f(1/2)<1/2 and f(1/3)>1/3
B) f(1/2)>1/2 and f(1/3)>1/3
C) f(1/2)<1/2 and f(1/3)<1/3
D) f(1/2)>1/2 and f(1/3)<1/3

3 Answers

62
Lokesh Verma ·

[url=http://iitjee2009solutions.targetiit.com]Solution Key with Question Paper of 2009 IIT JEE[/url]

62
Lokesh Verma ·

Correct answer C

1
kamalendu ghosh ·

yes c,, f(x)=sin x

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