Two circles touch internally, Mathematics

Two circles touch internally at a point P and from a point T on the common tangent at P, tangent segments TQ and TR are drawn to the two circles. Prove that TQ = TR.

146_Two circles touch internally.png

Given: Two circles touch each other internally at P . From a point T on the common tangent, tanget segments TQ and TR drawn to the two circles.

To prove : TQ = TR
Proof : TR = TP -------→ (1)

(Tangets from an external point are equal)
Similarly, TQ = TP-------→(2)
From (1)and (2), we get: TQ = TR

 

Posted Date: 9/3/2012 6:06:48 AM | Location : United States







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

Write discussion on Two circles touch internally
Your posts are moderated
Related Questions
In the introduction of this section we briefly talked how a system of differential equations can occur from a population problem wherein we remain track of the population of both t

a. Cassie has seven skirts, five blouses, and ten pairs of shoes. How many possible outfits can she wear? b. Cassie decides that four of her skirts should not be worn to school.

Town x and town y were 270km apart. a car started from town x towards town y at a uniform speed of 60km/hr, while a motorcycle started from town y to town x at a uniform speed of 9

How do you calculate for the distance between two co-ordinates?

Descriptive Statistics Statistics Definition of Statistics: it viewed as a subject is a process of tabulating, collecting and analyzing numerical data upon which importan


can I access algebra videos?


darien agrees to sponsor her sister $8 plus $1 for every mile she walks.Write an expression to show her total money

A 50-foot pole casts a shadow on the ground. a) Express the angle of elevation θ of the sun as a function of the length s of the shadow. (Hint you may wish to draw this firs