Prove intercept of a tangent between two parallel, Mathematics

Prove that the intercept of a tangent between two parallel tangents to a circle subtends a right angle at the centre.

559_circle12.png

Since Δ ADF ≅ Δ DFC

∠ADF = ∠CDF

∴ ∠ADC = 2 ∠CDF

Similarly we can prove ∠CEB = 2∠CEF

Since  || m

∠ADC + ∠CEB = 180o

⇒2∠CDF + 2∠CEF = 180o

⇒ ∠CDF + ∠CEF = 90o

In Δ DFE

∠DFE = 90o

Posted Date: 4/10/2013 5:27:43 AM | Location : United States







Related Discussions:- Prove intercept of a tangent between two parallel, Assignment Help, Ask Question on Prove intercept of a tangent between two parallel, Get Answer, Expert's Help, Prove intercept of a tangent between two parallel Discussions

Write discussion on Prove intercept of a tangent between two parallel
Your posts are moderated
Related Questions
conclusion for the shares nd dividends

without using a calculator how would you know is cos theta(20) is greater than cos theta (35)

An insurance company/organization takes a keen interest in the age at which a person is insured. Thus a survey conducted on prospective clients indicated that for clients having th

Q. Sum and Difference Identities? Ans. These six sum and difference identities express trigonometric functions of (u ± v) as functions of u and v alone.

can u suggest me topics for phd in or for any industries

sin10+sin20+sin30+....+sin360=0 sin10+sin20+sin30+sin40+...sin180+sin(360-170)+......+sin(360-40)+sin(360-30)+sin(360-20)+sin360-10)+sin360 sin360-x=-sinx hence all terms cancel

Let's start things by searching for a mixing problem.  Previously we saw these were back in the first order section. In those problems we had a tank of liquid with several kinds of

A man in rested rupee 800 is buying rupee5 shares and then they are selling at premium of rupee 1.15.he sells all the share.find profit?

what the answer to 1/4+1/3=3/12=?