ATQ, QO = 12 cm, SO = 8 cm, and PQ = 36 cm From the secant theorem: PO × QO = RO × SO .... (I) PO = PQ + QO = 36 + 12 = 48 cm Put the value of PO in equation (I) , we get, 48 × 12 = RO × 8 Or, RO = 48 × 12 × (1/8) So, RO = 72 cm Therefore, the length of the chord RS = RO - SO = 72 - 8 = 64 cm
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