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Two points determine a unique line. Therefore, there are infinitely many circles that can pass through two given points. This is because a circle can be defined by its center, which can lie anywhere along the perpendicular bisector of the line segment connecting the two points.
It takes 3 non collinear points to define one specific circle. With only two points an infinite number of circles can be drawn.
Proof:
Given two points A, B draw the line between them. Then find the perpendicular bisector of the line AB. Any point on the perpendicular bisector is equidistant from the two original points, A and B. A circle with center C and radius AC will then pass through points A and B. There are infinite point C's on the perpendicular bisector so there are infinite circles.
Given three points A, B and D you can find the perpendicular bisector for line segements AB and then the perpendicular bisector fof line segment BC. The two perpedicular bisectors will not be parallel because the points A, B and D are non collinear. This means the two perpeniducar bisectors will intercept at only one point C(like any two intercepting lines). This point C is equidistant from points A, B, and D. A circle with center C and radius AC will then pass through all three of the points. Since there is only one point C that lies on both perpendicular bisectors, there is only one circle possible.
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How many circles can be drawn through one given point?
infinite.. you can have different sizes of circles crossing at the same point.. so it can literally be an infinite amount
How many planes can pass through two given points?
There are an infinite number of planes that pass through a pair of points. Select any plane that passes through both the points and then rotate it along the line joining the two points.
Given two points how many lines can you draw between them?
1
How many planes can pass through two points?
Nonee !
How many points may a line contain?
A line, ray, or line segment contains an infinite number of points.
What is the equation of the circle through -2 -4 60 and 15?
Given any two points, there are infinitely many coplanar circles that can go through the two points. And then each circle can be rotated through infinitely many planes about the straight line joining those two points. So as stated, there is not the slightest hope of pinning down an answer.
How many circles can passes through three non-collinear points?
Exactly one. No more and no less.
How many points are shared by concentric circles?
Zero, or all if the circles coincide.
How many circles can be drawn through one given point?
infinite.. you can have different sizes of circles crossing at the same point.. so it can literally be an infinite amount
How many lines can pass through two given points?
Just one.
How many lines can be drawn through both of the two given points?
One.
How many lines can you draw through three given points taking two at a time if the points are collinear?
One.
How many circles can be drawn at two fixed points?
infinite
How many curved lines you can draw through two given points?
1
How many planes can pass through two given points?
There are an infinite number of planes that pass through a pair of points. Select any plane that passes through both the points and then rotate it along the line joining the two points.
Can many circles be circumscriibed about a given triangle?
false
How many circle can be drawn passing through two points?
There are infinite circles which can be drawn with 2 defined points.. Because if we have 2 points then we can draw infinite equal intersecting lines in infinite directions, These intersecting lines are the radii of the circles. Like : we have 2 points You can draw infinite isosceles triangles as taking the line joining the points For example (activity) : we have 2 points A, B so let's join A and B which will make line AB and so let's take another point C and place that point in such a way that AC = AB and we observe that there are infinite points which can be placed in such a way like how we marked C. Now draw a circle with center C and radius A, we will observe that the circle also cuts through B and so as we have infinite points like C, so we can have infinite circles ..... And so we conclude that infinite circles with different radii can be drawn through two defined distant points ...
