# The common chord of two intersecting circles subtends angles 90° and 60°, respectively, at the centres of the circles and the distance between

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The common chord of two intersecting circles subtends angles 90° and 60°, respectively, at the centres of the circles and the distance between the centres is3 +1. Find the radii of the circles.

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Let the common chord AB meet the line joining the centres O1 and O2 of the circles at point M (see Fig.). Then