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Q: How many planes can contain a line and a point not on the line?
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Related questions

How many planes contain a point and a line segment?

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Given a line and a point on that line how many different planes contain both of them?

1


Given a line and a point not on that line how many different planes contain both of them?

1


How many planes can contain a line and a point on the line?

Anything that contains the line must contain every point on the line, so "a point on the line" doesn't give us any more information. You're just asking how many planes can contain the line. Now imagine setting a wood panel down on a tight-rope. How many different ways can it set there before it falls off ? A lot, right ? An infinite number of planes can all contain your line. (And all of its points.)


What Point S is not on line k. How many different planes contain both point S and line k?

There is only one such plane.


How many planes contain a given line in space?

Given a line, there are an infinite number of different planes that it lies in.


How many planes can contain two given points?

If 2 points determine a line, then a line contains infinitely many planes.


How many planes contain the same three collinear points?

Infinitely many planes may contain the same three collinear points if the planes all intersect at the same line.


How many planes can contain one specific line?

An infinite number of planes. Picture a line and now picture planes going in every direction through the line,


How many planes are perpendicular to the line at one point?

one


How many planes can contain three point at the same time?

Only one plane can contain three specific points.


How many planes can be perpendicular to a given line at a given point?

Only one