A section of the sphere by a plane through any of its great circle is ____.

Every section of a sphere by a plane is a ………… .

How can you prove the converse of the above theorem. " If a line in the plane of a circle is perpendicular to the radius at its endpoint on the circle, then the line is tangent of the circle ".

Find the radius of the circular section of the sphere | vec r|=5 by the plane vec rdot[( hat i+2 hat j- hat k)]=4sqrt(3)dot

There can be any number of diameters for a circle

The centre of a great circle is at the ____ of a sphere.

Find the equation of the circle which passes through (1, 0) and (0, 1) and has its radius as small as possible.

The plane ax + by = 0 is rotated about its line of intersection with the plane z = 0 through an angle alpha . Prove that the equation of the plane in its new position is ax + by +- (sqrt(a^2 + b^2) tan alpha)z = 0

If (alpha, beta) is the centre of a circle passing through the origin then its equation is

Moment of inertia of a thin hollow sphere about an axis passing through the edge along its tangent is