If the function f(x)=ax^3-bx^2-8x-4 satisfies Roll's theorem in [1,3], if f'(2)=0 then a-b is equal to ….

MHT CET 2026 Mathematics question

If the function satisfies Roll's theorem in , if then is equal to ….

Answer: (A)

Rolle's theorem requires (continuity and differentiability hold for a polynomial). and . Setting equal: . Given with :

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Question ID VK-098691