Question 33 Read the following passage and answer the questions that follows: In a class room, four students Sita, Gita, Rita and Anita are sitting at A (3, 4), B (6, 7), C (9, 4), D (6, 1) respectively. Then a new student Anjali joins the class
(i) Teacher tells Anjali to sit in the middle of the four students. Find the coordinates of the position where she can sit.
Middle of the 4 students will be the mid point of BD
and mid-point of AC
So, it will be at point - (6, 4)
(ii) Calculate the distance between Sita and Anita.
Sita is point A (3, 4) , Anita is point D (6, 1)
We need to calculate AD
= β((π₯_2βπ₯_1 )^2+(π¦_2βπ¦_1 )^2 )
= β((0β3)^2+(0β(β4))^2 )
= β((β3)^2+(β4)^2 )
= β(3^2+4^2 )
= β(9+16)
= β25
AD = β((π₯_2βπ₯_1 )^2+(π¦_2βπ¦_1 )^2 )
= β((6β3)^2+(1β4)^2 )
= β((3)^2+(β3)^2 )
= β(3^2+3^2 )
= β(2Γ3^2 )
= 3β2
Therefore, distance between Sita and Anita is πβπ units
(iii) Which two students are equidistant from Gita. Here, Sita, Gita, Rita and Anita are sitting at A (3, 4), B (6, 7), C (9, 4), D (6, 1) respectively
The point equidistant from point B are points A and C
So, Sita and Rita are equidistant from Gita

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.