The maximum value of the function is:
1. 8
2. -8
3. 4
4. -4
If , then f(x) has:
1. a minimum at x=1.
2. a maximum at x=1.
3. no extreme point.
4. no minimum.
The resultant of the forces and is . If is doubled, then the resultant also doubles in magnitude. Find the angle between and .
1.
2.
3.
4.
If \(\overrightarrow{\mathbf{A}}{=}{2}\hat{i}+\hat{j}\;{\&}\;\overrightarrow{\mathbf{B}}{=}\hat{i}{-}\hat{j}\) , then the components of along with & perpendicular to respectively will be:
1.
2.
3.
4.
If \(\vec{a}\) is a vector and \(x\) is a non-zero scalar, then which of the following is correct?
1. \(x\vec{a}\) is a vector in the direction of \(\vec{a}\)
2. \(x\vec{a}\) is a vector collinear to \(\vec{a}\)
3. \(x\vec{a}\) and \(\vec{a}\) have independent directions
4. \(x\vec{a}\) is a vector perpendicular to \(\vec{a}\)
The vector , which is collinear with the vector =(2, 1, -1) and satisfies the condition .=3 is-
1. (1, 1/2, -1/2)
2. (2/3, 1/3, -1/3)
3. (1/2, 1/4, -1/4)
4. (1, 1, 0)
If a, b and c are three non-zero vectors such that , then the value of will be:
1. Less than zero
2. equal to zero
3. greater than zero
4. 3
What is the torque of a force newton acting at a point metre about the origin? (Given: )
1.
2.
3.
4.
The momentum of a body moving in a straight line is . Force acting on the body at t=2 sec will be: (\(Given: F=\frac{dp}{dt}\))
1. 6 N
2. 8 N
3. 4 N
4. 2 N