Question

How many planes pass through two intersecting lines​

Answer 1

Only one plane passes through two intersecting lines and it is impossible for one more plane if it has been.

Contradictional proof:

Assume that there exists two or more distinct planes which can pass through two arbitrarily intersecting lines.

This statement means that the two (or more) planes may pass through two arbitrary points in one among the two intersecting lines and one point on the other, which contradicts the fact that only one plane can pass through three distinct points in a coordinate system.

Hence proved that only one plane can pass through two intersecting lines.

Answer 2

Answer:

Only one plane passes through two intersecting lines and it is impossible for one more plane if it has been.

Step-by-step explanation:

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