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Subjects>Math>Other Math

Can a circle pass through three points of a straight line?

Anonymous

∙ 14y ago

Updated: 4/28/2022

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.

Wiki User

∙ 14y ago

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Q: Can a circle pass through three points of a straight line?

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Continue Learning about Other Math

Standard equation of a circle with 2 points?

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.

If EF 6 and EG 21 find the value of FG?

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.

Is a circle named by two points in the circle?

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.

Three points lying on the same straight line are called?

Points on the same line are called collinear points.

Is it true that a circle and a line may have three points in common?

yes

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Related Questions

What is there through any three noncollinear points?

A plane. A circle can also pass through three non-co-linear points.

Can noncollinear points lie on a circle?

Yes. In fact, given any three non-collinear points, there is one (and only one) circle that passes through all three points.

If three points are coplanar are they also collinear?

Is false

How do you get the formula center of curvature?

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.

Can each plane be uniquely defined by three points?

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.)

Can a circle pass through three given points?

Yes, if they are all in the same plane.

How do you draw an equalateral triangle around a circle with a compass and straight edge?

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.

When you say three points collinear?

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.

What 3 parts does a circle divide a plane into?

The three parts are:the interior of the circle, the points on the circle (points on its circumference) the outside of the circle.

Can three non collinear points make a circle?

yes, any three non collinear points will make a circle, however, four or more will not

How many planes could pass through three points in the same straight line?

Infinitely many planes.

Given any three points is there exactly one plane containing them?

Through any three points NOT on the same straight line. If they are all on the same line then that line can act as an axis of rotation for an infinite number of planes containing the three points.

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