Question

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?
CO
Rows
-NW A
10
11
7
13
12
1
2
3
4 5 6
Columns
8 9
Teacher​

Answer 1

Answer:

8 9 teacher is answer

Step-by-step explanation:

8 9 teacher is its position

Answer 2

Given :ABCD is a square

To find : The position of jaspal

Soution :

ABCD is a square

$A(x_1,y_1)= (3,5)\\\\B (x_2,y_2)= (7,8)\\\\C (x_3,y_3)= (11,5)\\\\D (x_4,y_4)= (7,2)$

The position o jaspal will be the between AC and BD

AC = BC (as ABCD is a square )

using the section formula

$M (x,y)= (\frac{x_1+x_3}{2}, \frac{y_1+y_3}{2}) , M(x,y)= ( \frac{x_2+x_4}{2}, \frac{y_2+y_4}{2})\\\\(\frac{3+11}{2}, \frac{5+5}{2}) =( \frac{7+7}{2}, \frac{8+2}{2})\\\\M(x,y)= (7,5)$

thus ,

The position of jaspal is (7,5)

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