Teachoo MCQ Test

NCERT Exemplar MCQ Quiz

Preparing for CBSE

Chapter 6 Class 12 Application of Derivatives | 7 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
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Question 1 of 7
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Question 1 of 7
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To find the dimensions of a rectangle with a fixed perimeter that has the maximum possible area, one should look for a point where:
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Question 2 of 7
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The equation of the normal to the curve \(y=\sin x\) at \((0,0)\) is:
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Question 3 of 7
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The "point of diminishing returns" in economics, where adding more input starts to yield smaller increases in output, corresponds mathematically to:
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Question 4 of 7
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The maximum value of \(\left(\frac{1}{x}\right)^x\) is:
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Question 5 of 7
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The tangent to the curve given by \(x=e^t\). cost, \(y=e^t\). sint at \(t= \frac{\pi}{4}\) makes with x -axis an angle:
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Question 6 of 7
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The equation of tangent to the curve \(y\left(1+x^2\right)=2-x\), where it crosses \(x\)-axis is:
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Question 7 of 7
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A function \(f(x)\) is increasing on the interval ( \(a, b\) ). What can be said about its derivative, \(f^{\prime}(x)\) ?
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