Two circles touch internally, Mathematics

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

 

Posted Date: 9/3/2012 6:06:48 AM | Location : United States







Related Discussions:- Two circles touch internally, Assignment Help, Ask Question on Two circles touch internally, Get Answer, Expert's Help, Two circles touch internally Discussions

Write discussion on Two circles touch internally
Your posts are moderated
Related Questions
Q. Probability of Independent Events? Ans. Consider these two events:  {My name is Shirley} {The rain is falling} Are these events related to each other?  No.  My name

problem faced by students

What is Identities and Contradictions ? Look at this equation: x + 1 = 1 + x It happens to be true always, no matter what the value of x. (Try it out! What if x is 43?)


Let G be a group acting on a set X. The action is called faithful if for any g ≠ 1 ∈ G there exists an x ∈ X such that gx ≠ x. That is, only the identity fi xes everything. Prov


An engineer has 200 resistors that he keeps in one box. Resistors are colored to help their identification, and in this box there are 30 white resistors, 50 black resistors, 80 red

What is Exponents values? Exponents were invented as a quick way to show that you are multiplying a number by itself several times. It's too much trouble to write something

I have difficuties in working out those 3D trigomentry problems within teh shortest possible time. Are there any tricks to get through such problems as soon as possible?

Consider the following proposal to deskew a skewed bitstream from a TRNG. Consider the bitstream to be a sequence of groups ot n bits for some n > 2. Take the first n bits, and o