In coordinate geometry how i solve the question of class 10 easily and quickly . Its very important question of coordinate geometry.In a classroom, 4 friends are seated at the points A, B, C and D as shown in Fig. 7.8. Champa and Chameli walk into the class and after observing for a few minutes Champa asks Chameli, “Don’t you think ABCD is a square?” Chameli disagrees. Using distance formula, find which of them is correct.
From figure, the coordinates of points A, B, C and D are (3, 4), (6, 7), (9, 4) and (6,1).
Find distance between points using distance formula, we get
AB = BC = CD = DA = 3√2
All sides are of equal length. Therefore, ABCD is a square and hence, Champa was correct