1960 AHSME Problems/Problem 30
Problem
Given the line and a point on this line equidistant from the coordinate axes. Such a point exists in:
Solution
If a point is equidistant from the coordinate axes, then the absolute values of the x-coordinate and y-coordinate are equal. Since the point is on the line , find the intersection point of and and the intersection point of and .
Substituting for in results in , so . That means , so one of the points is in the first quadrant.
Substituting and in results in , so . That means , so the other point is in the second quadrant.
Thus, the points are in quadrants and , so the answer is .
See Also
1960 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 29 |
Followed by Problem 31 | |
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