Question

Ull tentres
13 cm and C,C = 12 em, calculate the length of the
C, B = em
8. C, and , are the centres of two indes
Two circles with centres at C, and​

Answer 1

Answer:

∠AOB=90

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Step-by-step explanation:

Consider the problem

Let us join point O to C

In ΔOPAandΔOCA

OP=OC (Radii of the same circle)

AP=AC (Tangent from point A)

AO=AO (Common side)

ΔOPA≅ΔOCA (SSS congruence criterion)

Therefore, P↔C,A↔A,O↔O

∠POA=∠COA.........(1)

Similarly,

∠QOB≅∠OCB

∠QOB=∠COB.........(2)

Since,POQ is a diameter of the circle, it is a straight line.

Therefore, ∠POA+∠COA+∠COB+∠QOB=180

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So, from equation (1) and equation (2)

2∠COA+2∠COB=180

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∠COA+∠COB=90

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∠AOB=90

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