The component of vector $\overrightarrow{A}=a_x\hat{i}+a_y\hat{j}+a_z\hat{k}$ along the direction of $\hat{i}-\hat{j}$ is

(1) $a_x-a_y+a_z$

(2) $a_x-a_y$

(3) $(a_x-a_y)/\sqrt{2}$

(4) $(a_x+a_y+a_z)$

A force is \(60^{\circ}\) inclined to the horizontal. If its rectangular component in the horizontal direction is \(50\) N, then the magnitude of the force in the vertical direction is:

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.