Answer: The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared
Step-by-step explanation: Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.
We are to select the correct option that could be used to calculate the coordinates for point B.
Let, (x, y) be the co-ordinates of point B.
According to distance formula, the distance between two points (a, b) and (c, d) is given by
Therefore, the distance between the points A(8, 9) and B(x, y) is given by
Since, distance between A and B is 10 units, so
d = 10.
Thus, the correct statement is
10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.
Option (C) is correct.