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Circles Tangents Problems (view source)
Revision as of 11:27, 13 August 2014
, 11:27, 13 August 2014→problem 3 [Ex-15.2 B.7]
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Circles <math>C_{1}</math> and <math>C_{2}</math> touch internally at a point A and AB is a chord of the circle<math>C_{1}</math> intersecting <math>C_{2}</math> at P, Prove that AP= PB.<br>
Circles <math>C_{1}</math> and <math>C_{2}</math> touch internally at a point A and AB is a chord of the circle<math>C_{1}</math> intersecting <math>C_{2}</math> at P, Prove that AP= PB.<br>
[[Image:problem 3 on circle.png|300px]]
[[Image:problem 3 on circle.png|300px]]
+Concepts used
+1. The radii of a circle are equal
+2.Properties of isosceles triangle.
+3.SAS postulate
+4.Properties of congruent triangles.
+Prerequisite knowledge
+1. The radii of a circle are equal.
+2. In an isosceles triangle angles opposite to equal sides are equal.
+3.All the elements of congruent triangles are equal.