JEE-MAIN SERIES Mathematics
Mean Value Theorem
3 previous year questions.
Volume: 3 Ques
Yield: Medium
High-Yield Trend
1
2023 1
2022 1
2021 Chapter Questions 3 MCQs
01
PYQ 2021
medium
mathematics ID: jee-main
If Rolle's theorem holds for the function f(x) = x³ - ax² + bx - 4, x ∈ [1, 2] with f'(4/3) = 0, then ordered pair (a, b) is equal to :
1
(5, 8)
2
(5, -8)
3
(-5, 8)
4
(-5, -8)
02
PYQ 2022
medium
mathematics ID: jee-main
Let the mean and the variance of 5 observations x1, x2, x3, x4, x5 be and , respectively. If the mean and variance of the first 4 observations are and a, respectively, then (4a + x5) is equal to
1
13
2
15
3
17
4
18
03
PYQ 2023
hard
mathematics ID: jee-main
Let A₁ and A₂ be two arithmetic means and G1, G2, G3 be three geometric means of two distinct positive numbers. Then is equal to
1
2(A1 + A2) G1G3
2
(A1 + A2)
3
(A1 + A2)2 G1G3
4
2(A1 + A2)
About Mean Value Theorem - JEE-MAIN
Mean Value Theorem is a vital chapter for JEE-MAIN aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.
By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.
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