Morning Assembly is an integral part of the school's schedule. Almost all the schools conduct morning assemblies which include prayers, information of latest happenings, inspiring thoughts, speech, national anthem, etc. Moming Assembly is important for a child's development. It is essential to understand that morning assembly is not just about standing in long queues and singing prayers or national anthem, but it's something beyond just prayers. All the activities carried out in morning assembly by the school staff and students have a great influence in every point of life. The positive effects of attending school assemblies can be felt throughout life. In a school assembly, students always stand in rows and columns and this makes a coordinate system. Suppose a school has 100 students and they all assemble in 10 rows as given below. d)√²+ 3xy + y² D Based on the above information, answer the questions given below: Q.11 The distance between A and B is: a) a b) 6 Q.12 The distance between C and Dis: a) 8 b) G Q.13 The distance between A and C is: a) 8 b) 6 Q.14 The distance between D and B a) 8 b) 6 Q.15 The reflection of B in y-axis is: a) (6, 7) b) (7,6) d) 2√3 c) 3√2 d) 2√3 d) 2√3 c) 3√2 is: d) 2√3 c) (-6.7) d) (-6, -7)
Answers
The distance between AB, CD, AC, and DB is 3√2, 3√2, 6, and 6 respectively.
Given:
Positions of A, B, C, and D in the assembly line as shown in the figure below
To Find:
We need to find the distance between-
1. A and B
2. C and D
3. A and C
4. D and B
5. and the reflection of B in y-axis
Solution:
From the graph, we can find the coordinates of A, B, C, and D as-
A(3, 4); B(6, 7); C(9, 4); D(6, 1)
Now, using the distance formula, we can find the distances as follows-
AB = √{(3-6)² + (4-7)²}
AB = √(9 + 9)
AB = 3√2
CD = √{(9-6)² + (4-1)²}
CD = √(9 + 9)
CD = 3√2
AC = √{(3-9)² + (4-4)²}
AC = √36
AC = 6
DB = √{(6-6)² + (1-7)²}
DB = √(0 + 36)
DB = 6
Finally, the reflecting point B on the y-axis, the x coordinate will shift from 6 to -6 and the y coordinate will be the same.
Thus, the coordinates of the reflected point will be (-6, 7)
Hence, we get that the distance between AB, CD, AC, and DB is 3√2, 3√2, 6, and 6 respectively.
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Answer:
Step-by-step explanation:
The distance between AB, CD, AC, and DB is 3√2, 3√2, 6, and 6 respectively.
Given:
Positions of A, B, C, and D in the assembly line as shown in the figure below
To Find:
We need to find the distance between-
1. A and B
2. C and D
3. A and C
4. D and B
5. and the reflection of B in y-axis
Solution:
From the graph, we can find the coordinates of A, B, C, and D as-
A(3, 4); B(6, 7); C(9, 4); D(6, 1)
Now, using the distance formula, we can find the distances as follows-
AB = √{(3-6)² + (4-7)²}
AB = √(9 + 9)
AB = 3√2
CD = √{(9-6)² + (4-1)²}
CD = √(9 + 9)
CD = 3√2
AC = √{(3-9)² + (4-4)²}
AC = √36
AC = 6
DB = √{(6-6)² + (1-7)²}
DB = √(0 + 36)
DB = 6