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Question: modern geometry please give an explaination the last photo is...

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Modern Geometry: please give an explaination. The last photo is the proof.

7. The circle C is inverted with respeet to the cirele K der what condition is the center of the inverse of C the same as the
7. The circle C is inverted with respect to the circle K. Under what condition is the center of the inverse of C the same as
7. Let S be the centre of K and O the centre of C. Let S be the origin of a rectangular coordinate system and SO the r-axis.
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