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Transcript
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 × P B = P C × P D . This can be
viewed as the areas of two rectangles having sides P A, P B and P C, P D.
⋆ This relation holds if the chords meet outside the circle
⋆ If one chord is a diameter and other chord is perpendicular to the diameter
then P A × 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 2017—mathematics —Department of General Education, Kerala