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1. Two tangents \(PQ\) and \(PR\) are drawn from an external point to a circle with centre \(O\). Prove that \(QORP\) is a cyclic quadrilateral.
2. If from an external point \(B\) of a circle with centre \(O\), two tangents \(BC\) and \(BD\) are drawn such that \(\angle DBC = 120^\circ\), prove that \(BC + BD = BO\), i.e., \(BO = 2BC\).
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