If Rolle’s theorem holds for the function \(f(x) = \ x^{3} - ax^{2} + bx - 4,\) \(x\in \lbrack 1,2\rbrack\) with \(f'(\frac{4}{3}) = 0,\) then ordered pair \((a, b)\) is equal to

[JEE Main 2021, 25 Feb (Shift 1)]

Question

If Rolle’s theorem holds for the function \(f(x) = \ x^{3} - ax^{2} + bx - 4,\) \(x\in \lbrack 1,2\rbrack\) with \(f'(\frac{4}{3}) = 0,\) then ordered pair \((a, b)\) is equal to

[JEE Main 2021, 25 Feb (Shift 1)]

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If Rolle’s theorem holds for the function \(f(x) = \ x^{3} - ax^{2} + bx - 4,\) \(x\in \lbrack 1,2\rbrack\) with \(f'(\f…

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