Correct option is A
The correct answer is (a) A, D, E
Step 1: Analyze Positions of Villages
Step 2: Plot the Positions Using a Coordinate System
Assume E is at (0, 0) for simplicity:
Step 3: Identify Villages in a Straight Line
Check possible collinearity (straight-line alignment):
Other Combinations:
Conclusion:
The villages A, D, and E are in a straight line.
- F is 1 km to the West of D
- F and D are aligned horizontally, with F to the west of D.
- B is 1 km to the East of E
- B and E are aligned horizontally, with B to the east of E.
- A is 2 km to the North of E
- A is vertically 2 km above E.
- C is 1 km to the East of A
- C is horizontally 1 km to the right (east) of A.
- D is 1 km to the South of A
- D is vertically 1 km below A.
- B: 1 km east of E → (1, 0)
- A: 2 km north of E → (0, 2)
- C: 1 km east of A → (1, 2)
- D: 1 km south of A → (0, 1)
- F: 1 km west of D → (-1, 1)
- A (0, 2), D (0, 1), E (0, 0):
- These villages lie on the same vertical line (x = 0).
- B (1, 0), E (0, 0), F (-1, 1): Not collinear.
- B (1, 0), C (1, 2), A (0, 2): Not collinear.
- B (1, 0), C (1, 2), F (-1, 1): Not collinear.
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