Find the equation of the circle which has `A(1, 3) and B(4,5)` as opposite ends of a diameter. Find also the equation of the perpendicular diameter.

Find the equation of the circle which has A(1,3) and B(4,5) as the opposite ends of a diameter.

Obtain the equation of the circle for which (3,4) and ( 2,-7) are the ends of a diameter.

Find the equation of the circle for which the points (4,2),(1,5) are the end points of a diameter.

Find the equation of the sphere on the join of (2,3,5) and (4,9,-3) as ends of diameter.

Find the equation of the circle with : Centre (-1, -2) and diameter 25 .

Find the equation of circle having (4,2) and (-5,7) as the extremities of a diameter.

Find the equation of the circle which has extremities of a diameter the origin and the point (2, - 4). Find also the equations of the tangents to the circle which are parallel to this diameter

Find the equation of the circle with the line joining (2,3) and (-2,-1) as diameter. Find the equation of the tangent at the point (2,3) to this circle.