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6. Look at the figure given below In the first figure AB, CDare the chords . The chords meet at P inside the circle. We can establish the relation P A Ã P B = P C Ã P D . This can be viewed as the areas of two rectangles having sides P A, P B and P C, P D. â This relation holds if the chords meet outside the circle â If one chord is a diameter and other chord is perpendicular to the diameter then P A Ã P B = P C 2 . 7. Tangents to the circle is perpendicular to the radius through the point of tangency . 8. The tangents from an exterior point to a circle and radii to the points of tangency form a cyclic quadrilateral 2 9. The angle between a chord of a circle and the tangent at one end of the chord is equal to angle formed by the chord in the other side of the circle 2 Orukkam 2017âmathematics âDepartment of General Education, Kerala