Question

touch internally at A and AB is a
6. In the given figure 10.71, circles Clo, r) and co..
chord of circle CO, v) intersecting c(0,"
at C. Prove that C bisect AB

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Answer 1

Answer:

Join OA,OC and OB.

Clearly, ∠OCA is the angle in a semi-circle.

∴ ∠OCA=90

o

In right triangles OCA and OCB, we have

OA=OB=r

∠OCA=∠OCB=90

o

and, OC=OC

So, by RHS−criterion of congruence, we get

△OCA≅△OCB

∴AC=CB