JEE MATHEMATICS MCQ: MEAN VALUES THEOREM

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Analyzing +4 | -1

\frac{{{C_0}}}{1}\,\, + \,\,\frac{{{C_1}}}{2}\,\, + \,\,\frac{{{C_2}}}{3} = 0

, where

{C_0},\,\,{C_1},\,\,{C_2}

are all real, then the quadratic equation

{C_2}\,{x^2}\,\, + \,\,{C_1}\,x\,\, + \,\,{C_0} = 0

has

View answer and explanation

Correct option: A

At least one root in

\left( {\mathrm{0,1}} \right)

The correct answer is A (At least one root in (0,1)) because Rolle's theorem guarantees a root within the interval (0,1) given the conditions.

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