Two circles touch internally, Mathematics

Assignment Help:

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

 


Related Discussions:- Two circles touch internally

Definition of a function, Definition of a Function Now we need to move...

Definition of a Function Now we need to move into the second topic of this chapter.  Before we do that however we must look a quick definition taken care of.

Completely factored polynomial, Factoring polynomials Factoring polynom...

Factoring polynomials Factoring polynomials is done in pretty much the similar manner.  We determine all of the terms which were multiplied together to obtain the given polynom

Define an ordered rooted tree, Define an ordered rooted tree. Cite any two ...

Define an ordered rooted tree. Cite any two applications of the tree structure, also illustrate using an example each the purpose of the usage.   Ans: A  tree is a graph like t

Find out that vector are linearly dependent, Find out if the following set ...

Find out if the following set of vectors are linearly independent or linearly dependent. If they are linearly dependent get the relationship among them. Solution : Ther

first and third quartiles, From the data given below calculate the value o...

From the data given below calculate the value of first and third quartiles, second and ninth deciles and forty-fifth and fifty-seventh percentiles.

Illustrate field properties of numbers, Q. Illustrate Field Properties of N...

Q. Illustrate Field Properties of Numbers? Ans. What the  associative law of addition  states is this: for any numbers a, b, and c,

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd