[tex]\large{\sf{Question:-}} \\ \\[/tex]
[tex] \implies \: [/tex]If two circles touch each other internally, then the point of contact will lie on the line segment joining the two circles.
[tex]\sf{Step \:by \:step \: Explanation:} \\ \\[/tex]
Theorem - If two circles touch each other internally or externally, the point of contact and the centres of the circles are collinear.
Data: Two circles with centres A and B each other externally at point P (Fig 1) or internally (Fig 2).
To prove:
A, B and P are collinear
Construction: Draw the common tangent RPQ at
P. Join AP and BP
Proof: (When circle touch externally)