17.
In a classroom, 4 friends are seated at the points A, B, C and D as shown in figure. Mohit and
Dheeraj walk into the class and after observing for a few minutes, Mohit decides to sit 4
point away from A along y-axis while Dheeraj wants to sit exactly in the middle of ABCD.
(i) what is the position of Mohit seat ?
Answers
Mohit's position is (3,8)
Given : In a classroom, 4 friends are seated at the points A, B, C and D as shown in figure. Mohit and
Dheeraj walk into the class and after observing for a few minutes, Mohit decides to sit 4 point away from A along y-axis while Dheeraj wants to sit exactly in the middle of ABCD.
To Find : (i) what is the position of Mohit seat ?
Solution:
A (3 , 4) , B ( 6,7) , C ( 9 , 4) , D ( 6 , 1)
Position of A is ( 3 ,4 )
Mohit decides to sit 4 point away from A along y-axis
=> Position of Mohit is (3 , 4 +4)
= (3 , 8)
position of Mohit seat is ( 3 , 8)
Additional Questions :
Coordinate of middle point of BC
B ( 6,7) , C ( 9 , 4)
= (6 + 9)/2 , (7 + 4)/2
= 15/2 , 11/2
Dheeraj wants to sit exactly in the middle of ABCD
Dheeraj want to sit at coordinates at ( 6 , 4)
A (3 , 4) , B ( 6,7)
Distance between AB = √(6 - 3)² +(7-4)² = 3√2
C ( 9 , 4) , D ( 6 , 1)
Slope = (1 - 4)/(6- 9) = 1
y - 1 = 1(x - 6)
=> x - y - 5 = 0
Equation of line CD is x - y - 5 = 0
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