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:

1.	\(25\) N	2.	\(75\) N
3.	\(87\) N	4.	\(100\) N

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) $(a_x+a_y+a_z)$

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. 

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

1.		2.
3.		4.

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

1. 

2. 

3. 

4. 

Which graph represents the function \(y=x^2+1\text{?}\)

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 graphs 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.