CBSE Class 10 Sample Paper for 2020 Boards - Maths Basic
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CBSE Class 10 Sample Paper for 2020 Boards - Maths Basic
Last updated at Dec. 16, 2024 by Teachoo
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
