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Which is a secant?
Secant is a straight line that intersects a curve at two or more points
How many tangent lines could be draw on a straight line?
A tangent line is a line that is parallel to and intersecting a point on a curve, where the limit of the distance between two points on that curve (one of them being the point in question) and those two points also being on that line approaches zero. Since a straight line has only one slope, at all points on the line, then there can only be one tangent line to a straight line, and the tangent line is the same line as the straight line.
What is a straight path connecting two points and extending infinitely in both directions?
Line
What is the shortest distance between a straight line and a curve?
If you translate (move without rotation) a copy of the line towards the curve, the first point where the line touches the curve (the tangent to the curve with the slope of the original line) will be the point on the curve closest to the line. Draw a connecting line from this tangent point to the original line, intersecting that original line at right angles. Measure the connecting segment. It is the shortest distance. Vector analysis will give a mathematically strict solution, I do not have the ability to explain this in sufficient detail.
What is the length of a straight line passing through the center of a circle and connecting two points on the circumference?
Diameter.
