Two circles with centres A and B and radii 14 and 7 units respectively touch each other externally. M is the mid point of segment DE and is the centre of the circle with radius 21 units. The two smaller circles touch the larger circle internally. A co ordinate system has been set up with the origin as M, and other points lie on the X-axis.
To find: The coordinates of the centre and radius of a circle and which touches the smaller circles externally and the larger circle internally.
Note: To be solved without using Apollonius problem and Descartes theorem.
Hints: Use Stewart's theorem and Pythagoras theorem