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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.