Sam walked 5m towards north from point A and reached point B. He took a right…
2024
Sam walked 5m towards north from point A and reached point B. He took a right turn from point B and walked 7m and reached point C. He took a right turn from point and walked 10m to reach point D. He took another right turn from point D and walked 6m to reach point E. Sam took a right turn from point E and walked 5m to reach point F.
Which of the following points are in a straight line?
- A.
A,B,C
- B.
C,D,E
- C.
A,D,E
- D.
None of these
Attempted by 72 students.
Show answer & explanation
Correct answer: D
Place A at the origin and track Sam's moves to get coordinates of all points.
A = (0, 0)
B = (0, 5) (5 m north of A)
C = (7, 5) (right/east 7 m from B)
D = (7, -5) (right/south 10 m from C)
E = (1, -5) (right/west 6 m from D)
F = (1, 0) (right/north 5 m from E)
Now check each given triplet for collinearity:
A, B, C: A and B lie on x = 0, but C has x = 7, so C is not on the same straight line as A and B.
C, D, E: C and D lie on x = 7, but E has x = 1, so E is not on that vertical line.
A, D, E: D and E lie on y = -5, but A has y = 0, so A is not on that horizontal line.
Conclusion: None of the three given triplets of points are collinear, so "None of these" is the correct answer.