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

Work in volume problems, Work : It is the last application of integr...

Work : It is the last application of integral which we'll be looking at under this course. In this section we'll be looking at the amount of work which is done through a forc

Relationship between the graph and inverse function, Interesting relationsh...

Interesting relationship between the graph of a function and the graph of its inverse : There is one last topic that we have to address quickly before we leave this section.  Ther

Evolve a game to help children remember basic multiplication, Evolve a game...

Evolve a game to help children remember basic multiplication facts. In this section we have looked at ways of helping children absorb some simple multiplication facts. But what

Marginal cost & cost function, Marginal cost & cost function  The cost ...

Marginal cost & cost function  The cost to produce an additional item is called the marginal cost and as we've illustrated in the above example the marginal cost is approxima

What is graphing statistics explain , What is Graphing Statistics explain ?...

What is Graphing Statistics explain ? The number of times that an event occurs is called its frequency. One of the ways that you can compare or display different frequencies is

Differentiate hyperbolic functions, Differentiate following functions. (...

Differentiate following functions. (a)  f ( x ) = 2 x 5 cosh x (b) h (t ) = sinh t / t + 1 Solution (a) f ′ ( x ) = 10x 4 cosh x + 2x 5 sinh x (b) h′ (t ) = (t

Rates of change or instantaneous rate of change, Rates of Change or instant...

Rates of Change or instantaneous rate of change ; Now we need to look at is the rate of change problem.  It will turn out to be one of the most significant concepts . We will c

Integration, Integrate ((cosx)*(sinx))/(sin(2x)) with respect to x

Integrate ((cosx)*(sinx))/(sin(2x)) with respect to x

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