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Maths Application of Derivatives Class 12 MCQ Questions

Question 1 of 7
Question 1 of 7
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The maximum value of \(\sin x \cdot \cos x\) is
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Question 2 of 7
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A ladder, 5 meter long, standing on a horizontal floor, leans against a vertical wall. If the top of the ladder slides downwards at the rate of \(10 \mathrm{~cm} / \mathrm{sec}\), then the rate at which the angle between the floor and the ladder is decreasing when lower end of ladder is 2 metres from the wall is:
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Question 3 of 7
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Maximum slope of the curve \(y=-x^3+3 x^2+9 x-27\) is:
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Question 4 of 7
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If the curve a \(y+x^2=7\) and \(x^3=y\), cut orthogonally at ( 1, 1), then the value of \(a\) is:
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Question 5 of 7
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Finding the shortest distance from a point to a curve is an application of:
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Question 6 of 7
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The curve \(y=x^{\frac{1}{5}}\) has at \((0,0)\)
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Question 7 of 7
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The point on the curve \(y^2=x\), where the tangent makes an angle of \(\frac{\pi}{4}\) with \(x\)-axis is
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NCERT Exemplar MCQ Quiz · Class 12 · Maths · CBSE

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Chapter 6 Class 12 Application of Derivatives | 7 questions | about 6 minutes

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