To draw Direct (External)  and Transverse (Internal) common tangent to two unequal circles
Channel: Study With Me
Date: 19/04/2023

13.3(v-a) To draw Direct (or External) common tangent to two unequal circles || Class 10 Maths Chapter 13
Summary
00:00 Introduction
00:13 Direct Common Tangent  (Common Steps for both cases) 
01:06 Direct Common Tangent Continued
02:36 Transverse Common Tangent (Common Steps repeated)
03:19 Transverse Common Tangent Continued
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For all three methods in both cases visit following links

Direct Common Tangent  - Three Methods
https://www.youtube.com/watch?v=LC4qqx2P5WQ

Transverse Common Tangent - Three Methods
https://www.youtube.com/watch?v=o8-hSgm-1Fw
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This video will show you the steps in minimum time so that you can repeat this on last day of exam and get high marks in your exams. 

Given: Two unequal circles with centres O, O' and radii r, r' respectively.
Steps of Construction:
1. Join the centers O and O'.
2. Find mid-point M of  OO' by drawing perpendicular bisector of OO'
3. Taking point M as Centre and radius equal to MO = MO' draw a circle.
4. Draw another circle with O as Centre and radius equal to r-r', cutting the circle with Centre  M at points P and Q.
5. Produce  OP and OQ to meet the first circle at Points A and B .
6. Draw O'A '∥ OA and O'B'∥OB.
7. Join A with A' and B with B' so that  AA' and BB' are the required common tangents.

13.3(v-b) To draw Transverse (or Internal) common tangent to two unequal circles || Class 10 Maths Chapter 13

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#TransverseTangent #Directcommontangent #ExternalcommonTangent #unequalcircles #ExternalTangent #DirectTangent

Given: Two unequal circles with centres O and O' and radii r and r' respectively.
Steps of Construction:
1. Join the centers O and O'.
2. Find mid-point M of OO' by drawing perpendicular bisector of OO'.
3. Taking point M as Centre and radius equal to m MO= m MO' draw a circle.
4. Draw another circle with O as Centre and radius equal to r+r', cutting the circle with Centre  M at points P and Q.
5. Join O with P and Q. OP  and OQ meet the first circle with radius r at Points A and B .
6. Draw  O'Q'∥OP and O'P'∥ OQ.
7. Join A with B' and A' with B so that  AB' and A'B are the required common tangents.

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