Tangents of circle

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Deepak Kumar
www.dksharma.co.cc
www.dkumar.co.cc

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Tangents of circle

  1. 2. Tangents of the circle Presented by Deepak Kumar
  2. 3. Objectives <ul><li>This presentation explains: </li></ul><ul><li>Types of Tangents. </li></ul><ul><li>Construction of tangents. </li></ul><ul><li>Construction of incircle. </li></ul><ul><li>Construction of circumcircle </li></ul>This project will help students understand the concept of tangents and how they are constructed.
  3. 4. Requirements:- <ul><li>Compass </li></ul><ul><li>Pencils </li></ul><ul><li>Eraser </li></ul><ul><li>Scale </li></ul><ul><li>Set Square </li></ul>
  4. 5. <ul><li>If line touches the circle at one point only that is called a tangent </li></ul><ul><li>If line connect the two point at the circle that is called a chord </li></ul><ul><li>If line intersect the circle at two point that is called secant </li></ul>Tangent Chord Secent
  5. 6. Formation of tangent A B Secant C D P Tangent Circle Chord
  6. 7. <ul><li>A P B is called a tangent to the circle </li></ul><ul><li>The touching point P is called the point of contact. </li></ul>C A B P Defination of tangents
  7. 8. A B C D E F G H P Q We construct four tangents AB , CD , EF & GH When two circles do not touch
  8. 9. A <ul><ul><li>B </li></ul></ul>C D O O ’ . . We can construct three tangents APB , CQD , PRQ When two circles touches externally P Q 1 st Tangent 2 nd Tangent 3 rd Tangent R
  9. 10. When two circles intersect each other A B C D 1 st Tangent 2 nd Tangent O O ! . . We can construct two tangents AB , CD
  10. 11. A B O O’ When two circles touches internally We can construct only one tangents APB P
  11. 12. When two concurrent circles O O’ We can not construct any common tangent
  12. 13. P P is a point out side the circle you can construct two tangents passing through P O Q R Tangent PQ = Tangent PR
  13. 14. A B C o Constructing Circumcircle Steps of Construction Construct a Δ ABC Bisect the side AB Bisect the side BC The two lines meet at O From O Join B Taking OB as radius draw a circumcircle.
  14. 15. A B C Constructing of incircle Steps of construction Construct a Δ ABC The two lines meet at O Taking OP as radius Draw a circumcircle O P Bisect the ABC Bisect the BAC Taking O draw OP AB

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