Intersection!
Find the number of intersection points of the following curves:
Notation : denotes the floor function .
The answer is 2.
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1 solution
Intersection of two curves means that the coordinates of the point of intersection will satisfy both curves.
With given data, only two lines are possible.
Y=1, when X=0, or multiple of 2 1 ∗ π , and Y=0, for any other value of X, including ± 2 .
When Y=1, on the circle X=1. But this is not the value we get on the line. So no intersection. When Y=0, on the circle X= ± 2 . . This is also the value we get on the line. So there are two intersections.
I am submitting a report that the answer is 2 not 0 intersections.