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

Estimating sums, round to the nearest ten to estimate , 422+296

round to the nearest ten to estimate , 422+296

Probability, If a school has lockers with 50 numbers on each co...

If a school has lockers with 50 numbers on each combination lock, how many possible combinations using three numbers are there.

How many teachers are there at russell high, There are 81 women teachers at...

There are 81 women teachers at Russell High. If 45% of the teachers in the school are women, how many teachers are there at Russell High? Use the proportion part/whole = %/100.

Choose a topic in measurement and design two activities, a) Choose a topic ...

a) Choose a topic in measurement, and design two activities in your context to help your pupils explore and learn the concept. b) Try these activities out on a few children, and

Find out the product of 5.2 × 10^3 and 6.5 × 10^7, Find out the product of ...

Find out the product of 5.2 × 10 3 and 6.5 × 10 7 . Write your answer in scientific notation. To multiply numbers written within scienti?c notation,  multiply the ?rst numbers

Percentages, how to remember the formulas of this topic

how to remember the formulas of this topic

Square and square root., the value of square root of 200multiplied by squar...

the value of square root of 200multiplied by square root of 5+

theoretical minimum number of stations, A company is setting up an assembl...

A company is setting up an assembly line to produce 100 units/hour. The table shown below identifies the work elements, times, and immediate predecessors. a)      What cycle tim

What is partially ordered set, What is Partially Ordered Set?  Let  S = {a,...

What is Partially Ordered Set?  Let  S = {a,b,c} and A = P(S). Draw the Hasse diagram of the poset A with the partial order ⊆ (set inclusion).   Ans: Let R be a relation define

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