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WBJEE 2022 Math Solved Paper

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Question : 52

Total: 75

Let f be a non-negative function defined in [0,π∕2],f′ exists and be continuous for all x and

√1−(f′(t))2dt=

f(t)dt and f(0)=0. Then

f(‌
1
2
)<‌
1
2
and f(‌
1
3
)>‌
1
3
f(‌
1
2
)>‌
1
2
and f(‌
1
3
)<‌
1
3
f(‌
4
3
)<‌
4
3
and f(‌
2
3
)<‌
2
3
f(‌
4
3
)>‌
4
3
and f(‌
2
3
)>‌
2
3

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