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

Define natural numbers, Q. Define natural numbers Ans. The natural...

Q. Define natural numbers Ans. The natural numbers (also called the counting numbers) are the numbers that you "naturally" use for counting: 1,2,3,4,... The set of n

What percentage of the soda purchased was cola, 3/5 of the soda purchased a...

3/5 of the soda purchased at the football game was cola. What percentage of the soda purchased was cola? Change the fraction to a decimal through dividing the numerator through

Prove, Let Xn be a sequence of distinct real numbers. Define E = {L : L is...

Let Xn be a sequence of distinct real numbers. Define E = {L : L is a subsequential limit of Xn}. Prove E is closed.

Sketch the graph of the derivative of this function f '( x), Below is the s...

Below is the sketch of a function f ( x ) . Sketch the graph of the derivative of this function f ′ ( x ) . Solution : At first glance it seems to an all however impossib

Example of elps maths learning, Do you agree with the necessity of the sequ...

Do you agree with the necessity of the sequencing E - L - P - S for learning? If not, then what do you suggest as an alternative path for understanding and internalising mathematic

Measurement, into how many smaller part is each centimeter divided

into how many smaller part is each centimeter divided

Eucledian space, examples

examples

Please help me solve these Problems step by step, What angle (to the neares...

What angle (to the nearest degree) corresponds to the cos 0.6 or what is cos-1(0.6)? (Note: Use Appendix I) What angle (to the nearest degree) corresponds to the sin 0.6 or what

Simulation model, Thorwarth M., Arisha, A. and Harper P., (2009) Simulation...

Thorwarth M., Arisha, A. and Harper P., (2009) Simulation model to investigate flexible workload management for healthcare and servicescape environment, Proceedings of the 2009 Win

Linear programming problem, I have a linear programming problem that we are...

I have a linear programming problem that we are to work out in QM for Windows and I can''t figure out how to lay it out. Are you able to help me if I send you the problem?

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages