What is the maximum value of 5sinθ – 12cosθ?
1. 12
2. 17
3. 7
4. 13
A block of weight W is supported by two strings inclined at 60° and 30° to the vertical. The tensions in the strings are as shown. If these tensions are to be determined in terms of W using the triangle law of forces, which of these triangles should you draw? (block is in equilibrium) :-
1. | 2. | ||
3. | 4. |
The magnitude of the resultant of two vectors of magnitude 3 units and 4 units is 1 unit. What is the value of their dot product?
1. –12 units
2. –7 units
3. –1 unit
4. 0
If \(\vec{A} = 2\hat{i} + \hat{j} - \hat{k}\) , \(\vec{B} = \hat{i} + 2\hat{j} + 3\hat{k}\) , and \(\vec{C} = 6 \hat{i} - 2\hat{j} - 6\hat{k}\) , then the angle between \((\vec{A} + \vec{B})\) and \(\vec{C}\) will be
1. 30°
2. 45°
3. 60°
4. 90°
The maximum or the minimum value of the function y = 25+ 5 – 10x is:
1. ymin = 4
2. ymax = 8
3. ymin = 8
4. ymax = 4
The unit vector perpendicular to vectors is
1.
2.
3.
4. None of these
The velocity of a body moving along the x-axis varies with x as m/s. Find the acceleration of the body at x = 2 m, if the acceleration is defined as .
1. 132 m/s
2. 32 m/s
3. 8 m/s
4. 4 m/s
The volume flow rate of water flowing out of a tubewell is given by . What volume of water will flow out of the tubewell in the third second if the volume flow rate is defined as Q =?
1. 10
2. 17
3. 36
4. 34