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Question

In figure 3.88, circles with centers X and Y touch internally at point Z, Seg BZ is a chord of bigger circle and it intersect smaller circle at point A. Prove that, seg AX||seg BY
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Solution

The 2 segments are said to be paarallel only if the chords at theie end points are parallel.
Here the chords AZ and BZ lie on one another
So they are said to be parallel
Hence the segments are parallel.

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