45. Exemplar Exercise Problem XXIV

Students of a school are standing in rows and columns in their playground for a drill practice. A, B, C and D are the positions of four students as shown in figure. Is it possible to place Jaspal in the drill in such a way that he is equidistant from each of the four students A, B, C and D? If so, what should be his position?

 

 

 

Answer:

 

 

The position of the point is $\left(i,i\right)$.