Mathematics
Statement I: The front surface of the green board in the classroom is a part of a plane.
Statement II: Conceptually, a plane is a flat surface that extends infinitely in all directions, with no 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.
Answer
Both Statement I and Statement II are true.
Explanation
A plane is a flat (smooth) surface. The front surface of the green board in the classroom is flat, so it represents a part of a plane. A page of a notebook, the surface of a wall, the floor or ceiling of a room and the top of a table are all such examples. So, Statement I is true.
Conceptually, a plane has length and breadth but no thickness, and it extends indefinitely in all directions. We can show only a portion of it on paper (usually a rectangle or parallelogram), but the actual plane is unlimited. So, Statement II is also true.
Hence, option 3 is the correct option.
Related Questions
If the radius of a circle is 4 cm, then the length of its diameter is
2 cm
4 cm
8 cm
16 cm
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.
Statement I: The diagonal of a polygon is the line segment joining two non-adjacent vertices.
Statement II: The polygon with the minimum number of sides is a triangle.
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.
Statement I: If r is the radius of a circle and l is the length of any chord then 0 ≤ l ≤ 2r.
Statement II: A chord is formed by joining any two points on a circle.
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.