Question

How many planes can be made to pass through a line and a point not on the line? *

Answer 1

Answer:

Only one plane can pass through three noncollinear points. If a line intersects a plane that doesn't contain the line, then the intersection is exactly one point. If two different planes intersect, then their intersection is a line. If a line and a plane have no points in common, then they are parallel.

Answer 2

Answer:

One plane

To find:

How many planes can be made to pass through a line and a point not on the line? 

Solution:

Apart from the number of planes, only one plane can pass through three noncollinear points. If a line intersects any if the planse that doesn't contain the line, then the intersection is exactly one point. If two different planes intersect, then their intersection is a line. If a line and a plane have no points in common, then they are parallel.

Conclusion:

Only one plane can be made to pass through a line and a point not on the line.

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