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From Karnataka Open Educational Resources
Construction of transverse common tangent (view source)
Revision as of 06:28, 21 May 2019
, 06:28, 21 May 2019no edit summary
The transverse common tangents also meet on the line of centres and divide it internally in the ratio of the radii.
===Objectives===
===Objectives===
To construct transverse common tangents for the given circles.
===Estimated Time===
===Estimated Time===
45 minutes
45 minutes
# 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 opposite side of the common tangent, then the tangent is called a transverse common tangent.
# If the centres of the circles lie on opposite side of the common tangent, then the tangent is called a transverse common tangent.
===Materials/ Resources needed===
===Materials/ Resources needed===
* Laptop, geogebra file, projector and a pointer.
* Digital: Laptop, geogebra file, projector and a pointer.
* Students' individual construction materials.
* Non Digital: Students' individual construction materials.
* Gegebra file:
===Process (How to do the activity)===
===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 Transverse common tangent.
The teacher can explain the step by step construction of Transverse common tangent.
* __FORCETOC__ Developmental Questions (What discussion questions)
* __FORCETOC__ Developmental Questions (What discussion questions)
