Question

Which of the following statements is/are not true with reference to the great circle?

• A. It is the smallest circle that can be drawn on any given sphere.
• B. It is the largest circle that can be drawn on any given sphere.
• C. It is a circle on the surface of a sphere which lies in a plane passing through the sphere's centre.
• D. It is a circle on the interior of a sphere which lies in a plane passing through the sphere's centre.

Answer 1

Answer: (A), (D)

The correct options are
A It is the smallest circle that can be drawn on any given sphere.
D It is a circle on the interior of a sphere which lies in a plane passing through the sphere's centre.

The great circle is a circle on the surface of a sphere which lies in a plane passing through the sphere's centre. It is the largest circle that can be drawn on any given sphere. All the longitudes are great circles whereas the Equator is the only latitude that is a great circle.