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JEE 2020 Mathematics : Rolle's Theorem and LMVT Quiz 11.07.2019
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Question 1
A value of C for which the conclusion of Mean Value Theorem holds for the function 
on the interval [1, 3] is
on the interval [1, 3] is
Question 2
Consider a quadratic equation ax2 + bc + c = 0, where 2a + 3b + 6c = 0 and let 
Statement 1: The quadratic equation has at least one root in the interval (0, 1).
Statement 2: The Rolle’s theorem is applicable to function g(x) on the interval [0, 1].
Question 3
If g(x) satisfies the conditions of Rolle’s theorem in [1, 2] and g′(x) = f(x), then
is equal to
is equal to
and 
, 
for x>x0 , then Question 5
Find the value of ‘c’ using Rolle’s theorem for f(x) =
on[-1,1]
on[-1,1]Question 6
If the function 
follows Mean Value Theorem in the range 
, find the value of c.
follows Mean Value Theorem in the range , find the value of c. Question 7
If the function 
follows Mean Value Theorem in the range 
, find the value of c.
follows Mean Value Theorem in the range , find the value of c. Question 8
If
and 
, find the value of 
.
and , find the value of . Question 9
If the function
follows Mean Value Theorem in the range 
, find the value of c.
follows Mean Value Theorem in the range , find the value of c. Question 10
If 
and 
, find the value of 
.
and , find the value of . - 210 attempts
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