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

Taylor series, If f(x) is an infinitely differentiable function so the Tayl...

If f(x) is an infinitely differentiable function so the Taylor Series of f(x) about x=x 0 is, Recall that, f (0) (x) = f(x) f (n) (x) = nth derivative of f(x)

Draw a common graph y = sin ( x ), Graph y = sin ( x ) Solution : As a...

Graph y = sin ( x ) Solution : As along the first problem in this section there actually isn't a lot to do other than graph it.  Following is the graph. From this grap

Right angle triangle, If the points for a right angle triangle are XYZ wher...

If the points for a right angle triangle are XYZ where do I mark the points?

Derivatives, What are the ingredients of a Mathematical Model? What is a mo...

What are the ingredients of a Mathematical Model? What is a model?

#change of ratio, #in a picnic the ratio of boys to girls is 3:4. when 6 bo...

#in a picnic the ratio of boys to girls is 3:4. when 6 boys joined the group the ratio became even. how many boys were there before? how many children were there before? how many b

Calculus, how to find the volume

how to find the volume

Decimals, how will the decimal point move when 245.398 is multiplied by 10

how will the decimal point move when 245.398 is multiplied by 10

Equivalent or equal sets, Equivalent or Equal sets Two sets C and D are ...

Equivalent or Equal sets Two sets C and D are said to be equal whether every member of set C belongs to D and every member of set D belongs also to C.

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