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

Factoring polynomials with higher degree, Factoring Polynomials with Degree...

Factoring Polynomials with Degree Greater than 2 There is no one method for doing these generally.  However, there are some that we can do so let's take a look at a some exa

Geometry, how to make an obtuse scalene triangle FAT with m

how to make an obtuse scalene triangle FAT with m

Find an example of congruential unit random number generator, 1. Suppose th...

1. Suppose the arrival times of phone calls in a help centre follow a Poisson process with rate 20 per hour (so the inter-arrival times are independent exponential random variables

Help with word problem, You would like to have $4000 in four years for a sp...

You would like to have $4000 in four years for a special vacation following graduation by making deposits at the end of every 6 months in an annuity that pays 7% compounded semiann

Length of the hypotenuse , A right triangular prism has volume equal to 288...

A right triangular prism has volume equal to 288 cm^3. The height of the prism is 3 cm. One of the bases of the triangular face (not the hypotenuse) is equal to 12 cm, determine th

Linear algebra, Let A be an n×n matrix. Then Show that the set U = {u?R^n ...

Let A be an n×n matrix. Then Show that the set U = {u?R^n : Au = -3un} is a Subspace of R^n

Lines, Standard form of the line Let's begin this section off along a q...

Standard form of the line Let's begin this section off along a quick mathematical definition of a line. Any equation that can be written in the following form,

Tangent lines, Tangent Lines : The first problem which we're going to stud...

Tangent Lines : The first problem which we're going to study is the tangent line problem.  Before getting into this problem probably it would be best to define a tangent line.

Algebra 1, pls help me solve this step by step 6*11(7+3)/5-(6-4)

pls help me solve this step by step 6*11(7+3)/5-(6-4)

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