Case Study based-3
Two friends Seema and Aditya work in the same office at Delhi. In
the Christmas vacations, both decided to go to their hometowns
represented by Town A and Town B respectively in the figure given
below. Town A and Town B are connected by trains
from the same station C (in the given figure) in Delhi. Based on the
given situation, answer the following questions:
(i) Which statement is true
(a) Seema travel more distance than Aditya to reach to their
hometown.
(b) Seema travel less distance than Aditya to reach to their
hometown.
(c) seema and Aditya travel equal distance to reach to their
hometown.
(d) seema travels doubble distance than that of by aditya
(ii) Seema and Aditya planned to meet at a location D which is middle
of Town A and Town B. D is mid-point of AB. Coordinate of point D
is
(a) (5,9)
(b) (- 5, - 9)
(c) (2.5, 4.5)
(d) (2, 4)
(iii) What type of triangle is formed by joining the points represented by
A, B and C.
(a) Scalene triangle
(b) Obtuse angled triangle.
(c) Isosceles right angled triangle.
(d) None of the above
(iv) What is the distance of station C from the origin
(a) 4 unit
(b) 4√2 unit
(c) 4.2 unit
(d) 16 unit
(v) The area of the triangle formed by joining the points represented by
A, B and C.
(a) 17 sq. Unit
(b) √68 sq. Unit
(c) 34 sq. Unit
(d) 10 sq. Unit
Answers
Case Study based-3
Two friends Seema and Aditya work in the same office at Delhi. In
the Christmas vacations, both decided to go to their hometowns
represented by Town A and Town B respectively in the figure given
below. Town A and Town B are connected by trains
from the same station C (in the given figure) in Delhi. Based on the
given situation, answer the following questions:
(i) Which statement is true
(a) Seema travel more distance than Aditya to reach to their
hometown.
(b) Seema travel less distance than Aditya to reach to their
hometown.
(c) seema and Aditya travel equal distance to reach to their ✓✓✓✓✓✓
hometown.
(d) seema travels doubble distance than that of by aditya
(ii) Seema and Aditya planned to meet at a location D which is middle
of Town A and Town B. D is mid-point of AB. Coordinate of point D
is
(a) (5,9)✓
(b) (- 5, - 9)
(c) (2.5, 4.5)
(d) (2, 4)
(iii) What type of triangle is formed by joining the points represented by
A, B and C.
(a) Scalene triangle
(b) Obtuse angled triangle.✓
(c) Isosceles right angled triangle.
(d) None of the above
(iv) What is the distance of station C from the origin
(a) 4 unit
(b) 4√2 unit✓
(c) 4.2 unit
(d) 16 unit
(v) The area of the triangle formed by joining the points represented by
A, B and C.
(a) 17 sq. Unit
(b) √68 sq. Unit
(c) 34 sq. Unit
(d) 10 sq. Unit✓