PYQs Based Test - 05 : Maxima, Minima and Mean value theorem

Topics Covered

Sample Questions from this Test

1. If a continuous function f(x) does not have a root in the interval [a, b], then which one of the following statements is TRUE?
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2. According to the Mean Value Theorem, for a continuous function f(x) in the interval [a, b], there exists a value ξ in this interval such that $\underset{a}{\overset{b}{\int }}f\left(x\right)dx=$
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3. Let f(x) be a real -valued function such that f'(x₀) = 0 for some x₀ ∈ (0, 1), and f${}^{"}$ (x) > 0 for all x ∈ (0, 1). Then f(x) has
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Test Instructions

• The test contains 10 questions and a total of 16 marks.
• You will have 180 minutes to complete the test. The timer cannot be paused once started.
• Negative marking: 0.25 mark(s) deducted per wrong answer.
• Use the question palette to mark questions for review and navigate freely.
• Detailed solutions and analytics are available immediately after submission.
• This is a free practice test. No login required to attempt.