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

1.		2.
3.		4.

The current in a circuit is given by: \(I=\dfrac{dq}{dt}.\) If the charge flowing through the circuit is described by: \(q=(t^2-3t+4),\) at what time is the current in the circuit equal to zero?
1. \(t=3\) s
2. \(t=2\) s
3. \(t=1.5\) s
4. \(t=15\) s

The vectors $\overrightarrow{\mathrm{A}}$ $\mathrm{and}$ $\overrightarrow{\mathrm{B}}$ are such that: $\left|\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}\right|=\left|\overrightarrow{\mathrm{A}}-\overrightarrow{\mathrm{B}}\right|$.
The angle between the two vectors is:
1. \(90^\circ\)
2. \(60^\circ\)
3. \(75^\circ\)
4. \(45^\circ\)

A force of 5N acts on a particle along a direction making an angle of $60°$ with vertical. Its vertical component will be:

1. 10 N

2. 3 N

3. 4 N

4. 2.5 N

If the vector sum of two vectors $\overrightarrow{\mathrm{A}}$ and $\overrightarrow{\mathrm{B}}$ is maximum, then the angle $\mathrm{\theta }$ between two vectors will be:

1.  $0°$

2.  $30°$

3.  $45°$

4.  $60°$

The displacement x of a particle along a straight line at time t is given by $\mathrm{x}={\mathrm{a}}_0+{\mathrm{a}}_1\mathrm{t}+{\mathrm{a}}_2{\mathrm{t}}^2$. The acceleration of the particle is:
1. \(a_0\)
2. \(a_1\)
3. \(2a_2\)
4. \(a_2\)

If \(|\vec{A}|=2\) and \(|\vec{B}|=4\), then match the relations in Column I with the angle \(\theta\) between \(\vec{A}\) and \(\vec{B}\) in Column II.

Choose the correct answer from the options given below:

If \(\left| \vec{A}\right|\) = \(2\) and \(\left| \vec{B}\right|\) = \(4,\) then match the relations in column-I with the angle \(\theta\) between \(\vec{A}\) and \(\vec{B}\) in column-II.     

In the figure,\(P,O,\) and \(Q\) lie on a straight line. The value of \(x\) is:

The area under the curve \(y=3x^2\) between the co-ordinates \(x = 0\) to \(x = 2\) is:
1. \(8\) m²
2. \(3\) m²
3. \(2\) m²
4. \(9\) m²