Teachoo Quiz

Assertion Reasoning Quiz - Chapter 6 Class 12 Application of Derivatives

Chapter 6 Class 12 Application of Derivatives | 5 questions | about 4 minutes

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Question 1 of 5
Question 1 of 5
Assertion (A): A cylindrical can of a given volume has minimum surface area when its height is equal to its diameter.
Reason (R): The second derivative of the surface area function with respect to the radius is positive at the critical point.
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Question 2 of 5
Assertion (A): The function \(f(x)=\log (\sin x)\) is strictly decreasing on \((\pi / 2, \pi)\).
Reason (R): The derivative \(f^{\prime}(x)=\cot (x)\) is negative on the interval \((\pi / 2, \pi)\).
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Question 3 of 5
Assertion (A): The absolute maximum of \(f(x)=x^2\) on the interval \([-2,2]\) is 4 .
Reason (R): The absolute maximum of a function on a closed interval must occur at a critical point or an endpoint.
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Question 4 of 5
Assertion (A): The function \(f(x)=x+\frac{1}{x}\) has a local minimum at \(x=1\).
Reason \((\mathrm{R})\) : \(f^{\prime}(1)=0\) and \(f^{\prime \prime}(1)>0\).
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Question 5 of 5
Assertion (A): If the marginal revenue of a company is greater than its marginal cost, it should increase production.
Reason (R): The rate of change of profit is positive when MR \(>\mathrm{MC}\).
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