Concept explainers
Plot the points

To plot:
The points on the same set of axes and to find the distance between A and B.
Answer to Problem 1BMO
Solution:
The points are,
The distance between the points is .
Explanation of Solution
Given:
The given points are,
and
.
Formula used:
The formula to calculate the distance between two points and
in the plane is,
Here, is the distance between the two points.
Calculation:
The following figure shows the graph of the given points.
Figure (1)
Consider the formula to calculate the distance between two points and
in the plane is,
…
Substitute for
,
for
,
for
and
for
in equation
.
Thus, the points are shown in Figure (1), and the distance between the points is .
Conclusion:
The points are shown in Figure (1), and the distance between the points is .
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