State whether the following statement is true or false.

In a plane, two distinct lines cannot share more than one point.

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True

False

answer is A.

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Detailed Solution

We have given a plane.
We know that a line is a completely straight, one-dimensional shape that extends infinitely in both directions and has no thickness.
A plane is a flat, indefinitely long, two-dimensional surface.
Two distinct lines meeting at a point are called AIntersecting class 9 maths CBSE

Two distinct lines meeting at a point are called AIntersecting class 9 maths CBSE

In Euclid geometry, any two distinct lines that are intersecting can only meet together at one point, never at more than one. Lines ‘p’ and ‘q’ in the above figure are two intersecting lines that intersect at point O. As a result, no two distinct lines in a plane can share more than one point.
Consequently, in a plane, two distinct lines cannot share more than one point.
Thus, the given statement is true.
Hence, option (1) is correct.

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