In the given figure, two circles C1 and C2 touch each other internally at Q with centres O and O' respectively. If the radii of bigger and smaller circles are 4cm and 3cm respectively and ACDB is the straight line of 2√15 cm, then find the lengths of OA and AC.

In the given figure, two circles C1 and C2 touch each other internally

1.	In the given figure, two circles C1 and C2 touch each other internally at Q with centres O and O' respectively. If the radii of bigger and smaller circles are 4cm and 3cm respectively and ACDB is the straight line of 2√15 cm, then find the lengths of OA and AC.
Answer» We KNOW that lengths drawn from an EXTERNAL POINT to a circle are equal.∴RP=RC and RC=RQ ⇒RP=RQ⇒ R is the mid-point of PQ.

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In the given figure, two circles C1 and C2 touch each other internally at Q with centres O and O' respectively. If the radii of bigger and smaller circles are 4cm and 3cm respectively and ACDB is the straight line of 2√15 cm, then find the lengths of OA and AC. ​

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In the given figure, two circles C1 and C2 touch each other internally at Q with centres O and O' respectively. If the radii of bigger and smaller circles are 4cm and 3cm respectively and ACDB is the straight line of 2√15 cm, then find the lengths of OA and AC.