Chapter 6 Class 12 - AOD - Quiz

Question 1 of 5

NCERT Exemplar

The equation of the normal to the curve $y=\sin x$ at $(0,0)$ is:

A $x=0$ B $y=0$ C $x+y=0$ D $x-y=0$

Select one option. Answers are shown after the test.

Question 2 of 5

NCERT Exemplar

$y=x(x-3)^2$ decreases for the values of $x$ given by :

A $1<x<3$ B $x<0$ C $x>0$ D $0<x<\frac{3}{2}$

Select one option. Answers are shown after the test.

Question 3 of 5

NCERT Exemplar

A company's marginal cost is the derivative of its cost function, $C^{\prime}(x)$. If $C^{\prime}(100)=$ 15, what does this signify?

A The total cost of producing 100 items is $\$ 15$. B The average cost per item is $\$ 15$. C The cost to produce the 101st item is approximately $\$ 15$. D The company makes a profit of $\$ 15$ on the 100th item.

Select one option. Answers are shown after the test.

Question 4 of 5

NCERT Exemplar

The tangent to the curve $y=e^{2 x}$ at the point $(0,1)$ meets $x$-axis at:

A $(0,1)$ B $-\frac{1}{2}, 0$ C $(2,0)$ D $(0,2)$

Select one option. Answers are shown after the test.

Question 5 of 5

NCERT Exemplar

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:

A 0 B $\frac{\pi}{4}$ C $\frac{\pi}{3}$ D $\frac{\pi}{2}$

Select one option. Answers are shown after the test.

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Chapter 6 Class 12 - AOD - Quiz