Question

iii. Two congruent circles with centres O and O' intersect at two points A and B. Two chords are drawn through A to intersect the circles at points C and C' respectively. If AB=AC=AC' = radius of the circle, find ZO'AO and ZCBC!​

Answer 1

Answer:

O&O

′

arethecentresoftwocongruentcirclesthat

intersectatA&B.

Tofindout−

If∠AOB&∠AO

′

Bareequal.

Solution−

WejoinAO,AO

′

&AB.

Now,ABisthecommonchordofthegivencongruentcircles.

Weknowthatthecommonchordoftwocongruentcircles

subtendsequalanglesatthecentersofthecircles.

∴∠AOB=∠AO

′

B.

Sothestatementiscorrect.

Step-by-step explanation:

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Answer 2

Answer:

Two congruent circles with centres O and O' intersect at two points A and B. Two chords are drawn through A to intersect the circles at points C and C' respectively. If AB=AC=AC' = radius of the circle, find ZO'AO and ZCBC!​