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Tangents of the circle Presented by  Deepak Kumar
Objectives ,[object Object],[object Object],[object Object],[object Object],[object Object],This project will help students understand the concept of tangents and how they are constructed.
Requirements:- ,[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],Tangent Chord Secent
Formation  of tangent A B Secant C D P Tangent Circle Chord
[object Object],[object Object],C A B P Defination of tangents
A B C D E F G H P Q We construct  four  tangents   AB , CD ,  EF   &  GH When two circles do not touch
A ,[object Object],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
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
A B O O’ When two circles touches internally We can construct only   one  tangents  APB P
When two concurrent circles O O’ We can  not construct  any common tangent
P P   is a point out side the circle you can   construct  two   tangents passing through   P O Q R Tangent  PQ =  Tangent PR
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.
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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Tangents of circle

  • 1.  
  • 2. Tangents of the circle Presented by Deepak Kumar
  • 3.
  • 4.
  • 5.
  • 6. Formation of tangent A B Secant C D P Tangent Circle Chord
  • 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
  • 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
  • 11. A B O O’ When two circles touches internally We can construct only one tangents APB P
  • 12. When two concurrent circles O O’ We can not construct any common tangent
  • 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
  • 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.
  • 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