No, a circle can never pass through three points of a straight line. The circle will touch 1) no points of the line, 2) one point of the line (which is now tangent to the circle), or 3) two points of the line. A line can contain (at most) twopoints that lie on the line.
Two points do not provide enough information to define a circle: a minimum of three points is required to uniquely define a circle unless one of the points happens to be the centre and the other is on the circle. In that case, however, it is necessary to know which is which.
There is not enough information to answer the question. For example, it is not even known if E, F and G are vertices of a triangle, three points on the same straight line, three points on the circumference of a circle or some exotic shape.
It is typically named using one point, which is the center. Sometimes, a circle could be referred to "a circle with diameter AB" in which two points are named. However, you need three non-collinear points to uniquely determine a circle.
Points on the same line are called collinear points.
yes
A plane. A circle can also pass through three non-co-linear points.
Yes. In fact, given any three non-collinear points, there is one (and only one) circle that passes through all three points.
Is false
This starts with the collocation circle to go through the three points on the curve. First write the equation of a circle. Then write three equations that force the collocation circle to go through the three points on the curve. Last, solve the equations for a, b, and r.
Yes, a plane can be uniquely defined by three points as long as the three points are not colinear. (Three points are colinear if there is a straight line that passes through all three points.)
For three non-collinear points, it is always true that they define a unique triangle. Additionally, these points do not lie on the same straight line, ensuring that the area of the triangle formed is greater than zero. Furthermore, they can be used to determine a unique circumcircle, which is the circle that passes through all three points.
Yes, if they are all in the same plane.
Keep compass the same size. Draw circle one. Draw circle two with the center on the edge of circle one. Draw circle three centered on one of the points of intersection between circle one and two. Now the area in between the all three circles where the points of circles intersect should join to make an equalateral triangle. Connect with your straight edge.
Three or more points are collinear if they lie on the same straight line.Three or more points are collinear if they lie on the same straight line.Three or more points are collinear if they lie on the same straight line.Three or more points are collinear if they lie on the same straight line.
The three parts are:the interior of the circle, the points on the circle (points on its circumference) the outside of the circle.
yes, any three non collinear points will make a circle, however, four or more will not
Infinitely many planes.