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. 

The slope of a curve is initially positive, then becomes zero, and thereafter becomes negative. Which of the following graphs best represents this behaviour?

1.		2.
3.		4.

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

1. 

2. 

3. 

4. 

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

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. \(4P_0 - \frac{P_0V}{V_0}\)

Which of the following graphs best represents the straight line \(y=-2x+5\text{?}~\)

1.		2.
3.		4.

Which of the following represented to \(U-x\) graph of \(U=\dfrac{1}{2} K \left(\right. A^{2}   -   x^{2} \left.\right)   ?   \left(\right. K > 0 \left.\right)\)
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. \(\frac{2\hat{i} - \hat{j}}{\sqrt{5}}\)