JEE Advanced Model Paper 14 with solutions for online practice

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Question : 43 of 60
 
Marks: +1, -0
If f : [0, 1] → (0, ∞) then the number of mappings f such that
1
0
f (x) dx = 1 ,
1
0
xf (x) dx = α and
1
0
x2
f (x) dx = α2 is
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