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Construction of direct common tangent (view source)
Revision as of 11:58, 30 October 2019
, 11:58, 30 October 2019added Category:Circles using HotCat
# If the same straight line is a tangent to two or more circles, then it is called a common tangent.
# If the same straight line is a tangent to two or more circles, then it is called a common tangent.
# If the centres of the circles lie on the same side of the common tangent, then the tangent is called a direct common tangent.
# If the centres of the circles lie on the same side of the common tangent, then the tangent is called a direct common tangent.
===Materials/ Resources needed===
===Materials/ Resources needed===
* Digital: Laptop, geogebra file, projector and a pointer.
* Digital: Laptop, geogebra file, projector and a pointer.
* Non digital: Students' individual construction materials.
* Non digital: Students' individual construction materials.
* Geogebra file: This geogebra file was created by Mallikarjun sudi of Yadgir.
{{Geogebra|zdybngmt}}
{{Geogebra|zdybngmt}}
===Process (How to do the activity)===
Note: In general,
The two circles are named as C1 and C2
The distance between the centre of two circles is 'd'
Radius of one circle is taken as 'R' and other as 'r'
The length of tangent is 't'
The teacher can explain the step by step construction of Direct common tangent and with an example.
The teacher can explain the step by step construction of Direct common tangent and with an example.
* Developmental Questions (What discussion questions)
* Developmental Questions (What discussion questions)
# What are properties of direct common tangents ?
# What are properties of direct common tangents ?
# [Note for teachers : Evaluate if it is possible to construct a direct common tangent without the third circle.] Examine with the help of following geogebra file made by Ranjani.__FORCETOC__
# [Note for teachers : Evaluate if it is possible to construct a direct common tangent without the third circle.] Examine with the help of following geogebra file made by Ranjani.__FORCETOC__
[[Category:Circles]]
