# How do you find the point of intersection of two circles?

## How do you find the point of intersection of two circles?

To do this, you need to work out the radius and the centre of each circle. If the sum of the radii and the distance between the centres are equal, then the circles touch externally. If the difference between the radii and the distance between the centres are equal, then the circles touch internally.

What is the intersection of two circles?

Two circles may intersect in two imaginary points, a single degenerate point, or two distinct points. The intersections of two circles determine a line known as the radical line.

What is the equation of circle passing through the points of intersection of the two circles and the origin?

x2+y2+x+2y=0.

### What are interlocking circles called?

A Venn diagram uses circles that overlap or don’t overlap to show the commonalities and differences among things or groups of things. Things that have commonalities are shown as overlapping circles while things that are distinct stand alone.

What are two overlapping circles called?

Venn diagram
A Venn diagram consists of multiple overlapping closed curves, usually circles, each representing a set.

How do you solve an equation with two circles?

Find the Points of Intersection of two Circles

1. We first expand the two equations as follows:
2. Multiply all terms in the first equation by -1 to obtain an equivalent equation and keep the second equation unchanged.
3. We now add the same sides of the two equations to obtain a linear equation.
4. Which may written as.

#### How do you prove two circles are orthogonal?

Two circles are said to be orthogonal circles, if the tangent at their point of intersection are at right angles. If two circles are cut orthogonally then it must satisfy the following condition. are orthogonal. The two circles cut orthogonally and hence they are orthogonal circles.

How do you find family of circles?

The circles consisting of the same properties are combined together in various ways to form the family of circles. The general equation of the circle can be given as x2 + y2 + 2gx + 2fy + c = 0.

What are 3 interlocking circles called?

Borromean rings
In mathematics, the Borromean rings are three simple closed curves in three-dimensional space that are topologically linked and cannot be separated from each other, but that break apart into two unknotted and unlinked loops when any one of the three is cut or removed.