Mathematics
Statement I: A dot made on a sheet of paper with a pencil is the geometrical representation of a point.
Statement II: Conceptually, a point has no dimensions. In other words, it has no length, width or thickness.
Statement I is true but statement II is false.
Statement I is false but statement II is true.
Both Statement I and statement II are true.
Both Statement I and statement II are false.
Geometrical Concepts
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Answer
Both Statement I and Statement II are true.
Explanation
A small dot marked by a sharp pencil on a sheet of paper (or a prick made by a fine needle) is used to represent a point in geometry. It marks the exact location we want to show. So, Statement I is true.
A point only determines a location — conceptually it has no length, no width and no thickness, i.e. it has no dimensions. The dot we draw is only a visual representation; the true mathematical point is dimensionless. So, Statement II is also true.
Hence, option 3 is the correct option.
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Statement II: Conceptually, a plane is a flat surface that extends infinitely in all directions, with no thickness.
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Statement II: The polygon with the minimum number of sides is a triangle.
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