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

Write down those features of such interactions, After seeing some children ...

After seeing some children interacting naturally, write down those features of such interactions that make peer learning potentially a better way of learning. Another point that

Generalized least squares regression, a. Estimate the following model,  C t...

a. Estimate the following model,  C t   =  β 0   +  β 1 * DI t +  ε t             Where C t = Aggregate Consumption Expenditure in Australia, quarterly data for the per

What is fibonacci sequence, what is Fibonacci Sequence? The most famous...

what is Fibonacci Sequence? The most famous sequence in mathematical history is called the Fibonacci sequence, discovered by the 12th-century mathematician Leonardo Fibonacci o

matlab, how to solve simplex method using matlab

how to solve simplex method using matlab?

Convert to scientific notation, 1 . If someone is 20 years old, deposits $3...

1 . If someone is 20 years old, deposits $3000 each year into a traditional IRA for 50 years at 6% interest compounded annually, and retires at age 70, how much money will be in th

Rectilinear figure, what is a redtilinear figure? like what are for the req...

what is a redtilinear figure? like what are for the requirments for a shape to be called that? example a regular polygon has all sides and angles equal. i cant find that kind of dr

Linear graph, in the form of linear graph interpret the ralationship betwee...

in the form of linear graph interpret the ralationship between two quantities

Tests for an ideal index number, Tests for an Ideal Index Number 1. F...

Tests for an Ideal Index Number 1. Factor Reversal Test Factor Reversal Test indicates that when the price index is multiplied along with a quantity index that is factors

Judgment sampling, Judgment Sampling Here the interviewer chooses whom ...

Judgment Sampling Here the interviewer chooses whom to interview believing that their view is more fundamental because they might be directly affected for illustration, to find

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