Let (a, b) (0, 2 ) be the largest interval for which ^ -1 ( )- ^ -1 ( )0, (0,2 ), holds. If x^2+ x+ ^ -1...

Question

Let (a, b) (0, 2 ) be the largest interval for which ^ -1 ( )- ^ -1 ( )>0, (0,2 ), holds. If x^2+ x+ ^ -1 (x^2-6x+10)+ ^ -1 (x^2-6x+10)=0 and - =b – a, then is equal to :

Accepted Answer

(D)

JEE Main 2023 Mathematics question

Solution