## What does tangent to the line y 3 mean?

When a circle is tangent to a line, the line is perpendicular to the radius at the point of tangency. So since this circle is tangent to the y-axis at y=3, the y-coordinate of the center of the circle must also be 3.

## How do you find the equation of the tangent to a circle?

A tangent to a circle at point P with coordinates is a straight line that touches the circle at P. The tangent is perpendicular to the radius which joins the centre of the circle to the point P. As the tangent is a straight line, the equation of the tangent will be of the form y = m x + c .

## What is the tangent line to a curve?

In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that “just touches” the curve at that point. Leibniz defined it as the line through a pair of infinitely close points on the curve.

## How do you find the center of a circle with two tangent lines?

Answers (1) Find the line bisecting the two tangent lines. This line will contain the center point of the circle. Form a right triangle with one of the tangent lines as a leg, the radius line as the other leg, and the bisecting line as the hypotenuse.

## Can a tangent intersect a circle twice?

A line can only intersect a circle 0, 1, or 2 times: twice for chords and secants; once for tangents.

## Can a tangent line intersect?

From geometry, you know that a line is tangent to a circle when the line intersects the circle at only one point (see Figure 11.13). Tangent lines to noncircular graphs, however, can intersect the graph at more than one point.

## What does it mean when a ray is tangent to a circle?

A tangent to a circle is a straight line which touches the circle at only one point. This point is called the point of tangency. The tangent to a circle is perpendicular to the radius at the point of tangency. In the circle O , ↔PT is a tangent and ¯OP is the radius.

## When can you say that a line intersecting the circle illustrates a second or a tangent?

Answer. Answer: Say can say that a line Intersecting the circle is a secant if the line intersects any two points of a circle while we can say that line Intersecting the circle is a tangent only if that line intersects of a circle at exactly one point.

## What is difference between code and diameter?

A line that joins two points on the circumference of a circle is called a chord. A diameter divides a circle into two equal segments, each is called a semicircle. Diameter is the longest chord of a circle. The diameter of a circle is twice the radius.