Two circles touch each other externally, Mathematics

Two circles touch each other externally:

Given: Two circles with respective centres C1 and C2 touch each other externaly at the point P. T is any point on the common tangent to the circles, TA and TBare two tangents drawn from the point T to the circles. 

1661_Two circles touch each other externally..png

To prove : TA = TB

Proof : TA and TP are two tangents drawn from a point T outside the circle whose centre is C1 and so they are equal in length.
∴  TA = TP --------→(I)
Similarly TB and TP are two tangents from an external point T then
TB = TP.................→(ii)

From (i) and (ii) , we get:
=> TA = TB

 

 

Posted Date: 9/3/2012 6:19:24 AM | Location : United States







Related Discussions:- Two circles touch each other externally, Assignment Help, Ask Question on Two circles touch each other externally, Get Answer, Expert's Help, Two circles touch each other externally Discussions

Write discussion on Two circles touch each other externally
Your posts are moderated
Related Questions

A circular disc of 6 cm radius is divided into three sectors with central angles 1200, 1500,900. What part of the circle is the sector with central angles 1200. Also give the ratio

State the following statement as a disjunction (in DNF) as well using quantifiers:      There does not exit a woman who has taken a flight on each airline in the world.

#how do I add fractions?

what is mantisa



I need some material on Bachet equation

A jet flew at an average speed of 480mph from Point X to Point Y. Because of head winds, the jet averaged only 440mph on the return trip, and the return trip took 25 minutes longer

Solving Algebraic Word Problems: What are the capacities of two water storage tanks in a nuclear facility if one holds 9 gallons less than three times another, and their whole