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Two Circles Touching Internally and Externally

If two circle...

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If two circles touch each other externally or internally then the two centres and point of contact are collinear . Prove it

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Q. Prove that "If two circles touch each other externally then their centres and the point of contact are collinear"

Q. If two circles touch each other externally, prove that the centres and the point of contact are collinear.

Q. If two circles touch each externally, prove that their point of contact and their centres are collinear.

Q. Prove that: If two circles touch each other, then the point of contact will lie on the line joining the two centres.

Q. Two circle with centres O and O' touch each other externally at point p and XY is a common tangent to the two circles at P. prove that O,P,O' are collinear.

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