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From Karnataka Open Educational Resources
Circles Tangents Problems (view source)
Revision as of 05:57, 13 August 2014
, 05:57, 13 August 2014→problem 3 [Ex-15.2 B.7]
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.
