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Point A is 5 m towards the West of point B. Point C is 2 m towards the North of point B. Point D is 3 m towards the East of point C. Point E is 2 m towards the South of point D.
Which of the following points are in a straight line?
- a)ABE
- b)DCA
- c)CED
- d)BDA
Correct answer is option 'A'. Can you explain this answer?
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Points in the given scenario:
- Point A is 5 m towards the West of point B.
- Point C is 2 m towards the North of point B.
- Point D is 3 m towards the East of point C.
- Point E is 2 m towards the South of point D.
To determine which points are in a straight line, we need to analyze the directions and distances between the points.
1. AB:
- Point A is 5 m towards the West of point B.
- This means that point A is horizontally aligned with point B, with a distance of 5 m between them.
2. DC:
- Point C is 2 m towards the North of point B.
- Point D is 3 m towards the East of point C.
- This means that point D is horizontally aligned with point C, with a distance of 3 m between them.
- However, point C is vertically aligned with point B, with a distance of 2 m between them.
- Therefore, points D and C are not in a straight line.
3. CE:
- Point E is 2 m towards the South of point D.
- This means that point E is vertically aligned with point D, with a distance of 2 m between them.
- However, point D is horizontally aligned with point C, and point C is vertically aligned with point B.
- Therefore, points E, D, and C are not in a straight line.
4. BDA:
- Point D is 3 m towards the East of point C.
- This means that point D is horizontally aligned with point A, with a distance of 3 m between them.
- However, point C is vertically aligned with point B, and point A is horizontally aligned with point B.
- Therefore, points B, D, and A are not in a straight line.
From the analysis above, we can conclude that points A, B, and E are in a straight line. Therefore, the correct answer is option 'A' (ABE).
- Point A is 5 m towards the West of point B.
- Point C is 2 m towards the North of point B.
- Point D is 3 m towards the East of point C.
- Point E is 2 m towards the South of point D.
To determine which points are in a straight line, we need to analyze the directions and distances between the points.
1. AB:
- Point A is 5 m towards the West of point B.
- This means that point A is horizontally aligned with point B, with a distance of 5 m between them.
2. DC:
- Point C is 2 m towards the North of point B.
- Point D is 3 m towards the East of point C.
- This means that point D is horizontally aligned with point C, with a distance of 3 m between them.
- However, point C is vertically aligned with point B, with a distance of 2 m between them.
- Therefore, points D and C are not in a straight line.
3. CE:
- Point E is 2 m towards the South of point D.
- This means that point E is vertically aligned with point D, with a distance of 2 m between them.
- However, point D is horizontally aligned with point C, and point C is vertically aligned with point B.
- Therefore, points E, D, and C are not in a straight line.
4. BDA:
- Point D is 3 m towards the East of point C.
- This means that point D is horizontally aligned with point A, with a distance of 3 m between them.
- However, point C is vertically aligned with point B, and point A is horizontally aligned with point B.
- Therefore, points B, D, and A are not in a straight line.
From the analysis above, we can conclude that points A, B, and E are in a straight line. Therefore, the correct answer is option 'A' (ABE).
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