1969 AHSME Problems/Problem 31
Problem
Let be a unit square in the -plane with and . Let , and be a transformation of the -plane into the -plane. The transform (or image) of the square is:
Solution
Each point on the square can be in the form , , , and , where . Making the appropriate substitutions results in points being , , , and on the -plane.
Notice that since , none of the points are below the u-axis, so options A,B, and E are out. Since , , so , where . That means some of the lines are not straight, so the answer is .
See Also
1969 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 30 |
Followed by Problem 32 | |
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