Only one plane can pass through 3 non-collinear points.
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1 straight line. An infinite number of curved lines.
Any two points lie on the same line, since a line can be drawn through any two points.Three points that lie on the same line are described as being "collinear" points.
There is only one line (or line segment) that can be drawn between two distince points.
If you were to have 3 points on the same line, then you would actually not be determining a plane, because there are infinitely many planes that can intersect a given line. But if you have 3 points in the form of the points (or vertices) of a triangle, then you determine a plane in the sense that there is only one possible plane upon which that triangle can be drawn (not including a degenerate triangle, which is equivalent to a line).
secx is the inverse of cosx. secx=1/cosx. A secant is also a line drawn through the graph that touches two points on a function.