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The tangent line is the instantaneous rate of change at a point on a curve.

The secant line crosses a curve twice at points A and B, representing the average rate of change between those two points.

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Difference between secant lines and tangent lines?

A secant line touches a circle at two points. On the other hand a tangent line meets a circle at one point.


What is the difference between a secant line and a tangent line?

A secant line intersects a curve at two or more points, providing a way to analyze the average rate of change between those points. In contrast, a tangent line touches the curve at exactly one point and represents the instantaneous rate of change at that specific point. Essentially, while the secant captures the overall behavior between points, the tangent reflects the curve's behavior at a precise location.


A secant is a line or segment that passes thought a circle in one and only one place?

Actually, a secant is defined as a line that intersects a circle at two points, not just one. A line that touches a circle at exactly one point is called a tangent. Therefore, a secant goes through the circle, while a tangent merely touches it.


What is difference between chord and secant?

a chord is a line segment and its endpoints are on the circle. a secant line is a "line" (meaning it is continuous and has no end points) that intersects a circle (in two places if that's not obvious). > > > Beans63


How is that any line intersecting the interior of a given circle is a secant of that circle?

Any line that enters a circle (and is not a tangent) must cross its boundary twice; once to enter, once to exit. Since a secant is a line segment that joins two different points on a curve, such a line as above is a secant.

Related Questions

Difference between secant lines and tangent lines?

A secant line touches a circle at two points. On the other hand a tangent line meets a circle at one point.


Can a line be tangent to one circle and a secant to the other in concentric circles?

Yes, it can as long as it is not the tangent line of the outermost circle. If it is tangent to any of the inner circles it will always cross the outer circles at two points--so it is their secant line--whereas the tangent of the outermost circle is secant to no circle because there are no more circles beyond that last one.


A secant is a line or segment that passes thought a circle in one and only one place?

Actually, a secant is defined as a line that intersects a circle at two points, not just one. A line that touches a circle at exactly one point is called a tangent. Therefore, a secant goes through the circle, while a tangent merely touches it.


What is a line called that intersects a circle at one point?

A tangent line. A line that intersects a circle at two points is a secant.


A tangent line is a line that intersects a circle at exactly two points?

No. A tangent touches the circle at exactly one point. A line that intersects a circle at exactly two points is a secant.


What is difference between chord and secant?

a chord is a line segment and its endpoints are on the circle. a secant line is a "line" (meaning it is continuous and has no end points) that intersects a circle (in two places if that's not obvious). > > > Beans63


How is that any line intersecting the interior of a given circle is a secant of that circle?

Any line that enters a circle (and is not a tangent) must cross its boundary twice; once to enter, once to exit. Since a secant is a line segment that joins two different points on a curve, such a line as above is a secant.


Do a straight line and a curved line form avertex at its joining point?

A tangent at that point where a straight line just touches a curve and a secant line when the straight line bisects the curve.


Do Points of tangency also act as the endpoints of secant lines.?

Points of tangency do not act as the endpoints of secant lines. A secant line intersects a curve at two points, while a tangent line touches the curve at exactly one point without crossing it. Therefore, while a point of tangency is a single contact point on the curve, it does not fulfill the requirement of being an endpoint for a secant line.


What line meets the circle at exactly one point?

The tangent line. A secant line hits the circle in two places and forms a cord, but the tangent line only hits the circle in one point and is always perpendicular to the radius of the circle which exists at that point.


What line touches a circle in two points?

A line that touches a circle in two points is known as a secant line. Unlike a tangent line, which intersects the circle at exactly one point, a secant line crosses through the circle, creating two distinct intersection points. This characteristic differentiates secant lines from other types of lines related to circles, such as tangents and chords.


What touches the circle at two points?

A line that intersects a circle at exactly two points is known as a secant line. This line crosses the circumference of the circle, creating two distinct intersection points. In contrast, a tangent line touches the circle at only one point, while a secant line extends through the circle.