How many planes will be there containing aline and a point outside it?
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Answer:
If a point lies outside a line, then exactly one plane contains both the line and the point (Theorem 2). If two lines intersect, then they intersect in exactly one point (Theorem 1).
Step-by-step explanation:
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Answer:
Only one such a plane is possible which contains a line and a point outside it.
Step-by-step explanation:
Plane:
- A plane is a two-dimensional, flat surface that never ends.
- A plane is a point with zero dimensions, a line with one dimension, and three-dimensional space in two dimensions.
- A plane may appear as a subspace of a higher-dimensional space, such as the infinitely long wall of a room, or it may exist independently in its own right, such as in the context of two-dimensional Euclidean geometry.
Line:
- A geometric figure that can travel in both directions is a line. There are indefinitely many points that make up a line. It has no beginning and no end on either side. One dimension is a line.
- In the notion of analytic geometry, a line in the plane is frequently described as the set of points whose coordinates fulfil a certain linear equation.
- However in the concept of incidence geometry, a line may be an independent object, distinct from the set of points which lie on it.
Only one such a plane is possible which contains a line and a point outside it.
Know more about Plane and Line:
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