Which of the following represented to U-x graph of U = $\frac{1}{2}K(A^2 - x^2) ? (\mathrm{K}>0)$

1. 

2. 

3. 

4. 

The straight line y = -2x + 5 is best represented by

1. 

2. 

3. 

4. 

1. \(2P_0 - \frac{P_0V}{V_0}\)
2. \(3P_0 - \frac{P_0V}{V_0}\)
3. \(P_0 - \frac{P_0V}{V_0}\)
4. \(4P_0 - \frac{P_0V}{V_0}\)

The relationship y = $\frac{3}{\mathrm{x}}$ is best represented as 

1. 

2. 

3. 

4. 

The parabola y = x${}^2$ + 1 is represented by

1. 

2. 

3. 

4. 

The slope of a curve between y and x changes from 0 to -5 as x changes from 0 to 5. Which of the following curve best represents the above mentioned curve?

1. 

2. 

3. 

4. 

Which of the following graph has a positive, decreasing slope?

1. 

2. 

3. 

4. 

If slope of curve is first positive, then zero and after that became negative, so best represented of following graph which satisfied above condition

1. 

2. 

3. 

4. 

For the given figure, which of the following is true?

                          
1. \(\overrightarrow{B}= \overrightarrow{A}+\overrightarrow{C}\)
2. \(\overrightarrow{A}= \overrightarrow{B}+\overrightarrow{C}\)
3. \(\overrightarrow{C}= \overrightarrow{A}+\overrightarrow{B}\)
4. All of these

The value of the unit vector, which is perpendicular to both \(A=\hat{i} + 2\hat{j} + 3 \hat{k}\) and \(B= \hat{i} - 2\hat{j} - 3 \hat{k}\) $\mathrm{is\; equal\; to}$:

1. \(\frac{\hat{i}   +   2 \hat{j}   +   3 \hat{k}}{6}\)
2. \(\frac{6\hat{j} -4 \hat{k}}{\sqrt{52}}\)
3. \(\frac{6\hat{j} +4 \hat{k}}{\sqrt{52}}\)
4. \(\frac{2\hat{i} - \hat{j}}{\sqrt{5}}\)