Can a tangent line intersect a curve more than once?

It also takes into account the fact that the gradient could intersect the curve at more than one point, as tangents are intended to only touch the curve at a specific point, but not intersect the curve at that specific point.

Can tangent line intersect a curve in more than one point why or why not?

Only one of them intersects without going inside the circle. The broader definition of tangents for curves other than circles is similar. Basically, at the local level, the line touches the curve at the point of tangency, but doesn’t cross over it.

How do you find the point of intersection of a tangent to a curve?

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Can a tangent intersect a curve?

So, in conclusion, if a line is tangent to a curve, it does not necessarily mean that the line touches (intersects) the curve at only one point; therefore, the statement that “a tangent or tangent line touches or intersects a curve at only one point” is false!

Can a tangent line intersect the graph?

A tangent line may also cross through the graph somewhere else. The important thing that makes a tangent line a tangent line is that it grazes the graph at that one special point.

Is the point of intersection of the tangent line and the circle?

The point where the tangent line intersects the circle is called the point of tangency. A tangent line to a circle is perpendicular to the radius of the circle drawn to the point of tangency.

Does a tangent line only intersect at one point?

Tangent lines and secant lines are (usually) different things. A secant line must hit two points on a graph. A secant line between the points on the graph where x = a and x = b will hit the graph at x = a and x = b. A tangent line occurs at one single point on a graph and has the same slope as the graph at that point.

Can a tangent line intersect a parabola?

A line may: intersect a parabola at two points. touch a parabola at one point (in this case we say the line is tangent to the parabola) not intersect the parabola at all.

What is tangent and cross?

As nouns the difference between crossing and tangent is that crossing is an intersection where roads, lines, or tracks cross while tangent is (geometry) a straight line touching a curve at a single point without crossing it there.