JEE Advanced Model Paper 18 with solutions for online practice

Consider the function f (x) = x3−x2+x
f (x) is an increasing function such that
f (x) - x < 0 ∀ x ∊ (0 , 1)
And f (x) - x > 0 ∀ x > 1
Now , if a , b , c ∊ (0 , 1)
b < a , c < b and a < c (not possible)
If a , b , c ∊ (1 , ∞)
b > a , c > b and a > c (not possible)
⇒ a = b = c = 1 if ⇒ a = b = c = 0