Consider the following statements: 1. All meridians of longitude form...
Explanation:
- The question is asking whether the given statements are true or false.
- Let's analyze each statement individually.
Statement 1: All meridians of longitude form great circles.
- A meridian of longitude is a line that runs from the North Pole to the South Pole.
- A great circle is a circle on the surface of a sphere that has the same center as the sphere.
- Since a meridian of longitude runs from the North Pole to the South Pole, it divides the sphere into two equal halves.
- Therefore, all meridians of longitude satisfy the definition of a great circle.
- Hence, statement 1 is true.
Statement 2: The Equator is the only latitude that is a great circle.
- The Equator is a line of latitude that is located at 0 degrees.
- A line of latitude is a circle on the surface of a sphere that is parallel to the Equator.
- The Equator is the only line of latitude that is a great circle because it is the largest circle that can be drawn on the surface of a sphere.
- All other lines of latitude are smaller circles that are closer to the poles.
- Therefore, the Equator is the only latitude that satisfies the definition of a great circle.
- Hence, statement 2 is true.
Conclusion:
- Both statements 1 and 2 are true.
- Therefore, the correct answer is option 'C' - Both 1 and 2.