To find the direction of the shopping complex of D from the shopping complex of A, let's diagrammatically represent the given locations based on the problem statement:
- Identifying Shopping Complex Locations:
- The shopping complex of A is 6 km west of B.
- The shopping complex of C is 4 km north of B.
- The shopping complex of D is 6 km west of C.
- Analyzing Relative Positions:
- Starting point (B): Assume B is at the origin (0, 0) for simplicity.
- Position of A: Since A is 6 km west of B, A will be at (-6, 0).
- Position of C: Since C is 4 km north of B, C will be at (0, 4).
- Position of D: Since D is 6 km west of C, D will be at (-6, 4).
- Calculating Direction from A to D:
- Coordinates of A are (-6, 0).
- Coordinates of D are (-6, 4).
- The difference in coordinates from A to D is: \((\Delta x = -6 + 6 = 0, \Delta y = 4 - 0 = 4)\).
- Since the x-coordinate remains the same and the position changes only in the y-direction positively, the direction from A to D is north.
Thus, the shopping complex of D is in the North direction from the shopping complex of A.
The correct answer is: North
Important Questions from Miscellaneous
A stone is thrown horizontally from the top of a 20 m high building with a speed of 12 m/s. It hits the ground at a distance R from the building. Taking g = 10 m/s2 and neglecting air resistance will give :
A sphere of volume V is made of a material with lower density than water. While on Earth, it floats on water with its volume f1V (f1 < 1) submerged. On the other hand, on a spaceship accelerating with acceleration a < g (g is the acceleration due to gravity on Earth) in outer space, its submerged volume in water is f2V. Then:
A railway wagon (open at the top) of mass M1 is moving with speed v1 along a straight track. As a result of rain, after some time it gets partially filled with water so that the mass of the wagon becomes M2 and speed becomes v2. Taking the rain to be falling vertically and the water stationery inside the wagon, the relation between the two speeds v1 and v2 is :
Consider the following statements:
1. Distance between the longitudes becomes zero on North Pole and South Pole.
2. Distance between the longitudes is maximum on the Equator.
3. Number of longitudes is more than number of latitudes.
Which of the statements given above is/are correct?
One block of 2⋅0 kg mass is placed on top of another block of 3⋅0 kg mass. The coefficient of static friction between the two blocks is 0⋅2. The bottom block is pulled with a horizontal force F such that both the blocks move together without slipping. Taking acceleration due to gravity as 10 m/s2, the maximum value of the frictional force is :
