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Let the arc AC of a circle subtend a right angle at the centre O. If the point B on the arc AC divides the arc AC such that \dfrac\textlength of arc AB\textlength of arc BC=\dfrac15, and \overrightarrowOC=α\,\overrightarrowOA+β\,\overrightarrowOB, then α+√2\,(√3-1)\,β is equal to: | Watch the step-by-step video solution for this NIMCET PYQ.