Question 33 - CBSE Class 10 Sample Paper for 2020 Boards - Maths Basic - Solutions of Sample Papers for Class 10 Boards

Last updated at April 16, 2024 by Teachoo

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.

(ii) Calculate the distance between Sita and Anita.

(iii) Which two students are equidistant from Gita.

Transcript

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

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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