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JEE MATHEMATICS MCQ: MEAN VALUES THEOREM
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If , then the equation has, in the interval ,
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Correct option: B
Atleast one root
Option B, Atleast one root, is correct because Rolle's theorem guarantees the existence of at least one root in the interval (0, 1).
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If and are differentiable functions in such that 2 , then there exists such that
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The codes are given below, select the correct codes. Let be real valued function, then for The Rolle’s theorem is applicable in the interval for the function If satisfies the conditions for Rolle's theorem on , then equals The value of c, in the Lagrange’s Mean value theorem for the function in the interval [0, 1/2], is
Assertion (A): If Rolle's theorem be applied in , then L.M.V. theorem is also applicable for .
Reason (R): Both Rolle's theorem & L.M.V. theorem can not be applied in in
The codes are given below, select the correct codes. Let be real valued function, then for The Rolle’s theorem is applicable in the interval for the function If satisfies the conditions for Rolle's theorem on , then equals The value of c, in the Lagrange’s Mean value theorem for the function in the interval [0, 1/2], is