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
just give me some tips to submit a good asignments

Find out the average temperature: Example: Find out the average temperature if the subsequent values were recorded: 600°F, 596°F, 597°F, 603°F Solution: Step

1. Simon's monthly take home pay (after taxes) is $2200, if he pays 19%  of his gross pay(before taxex) in tax, what is his gross pay? 2 . Convert the following quantities to th

Higher Order Derivatives : Let's begin this section with the given function.                            f ( x ) = 5x 3 - 3x 2 + 10 x - 5 By this point we have to be a

two coins are flipped once.what is the probability of getting two tails?

Multiplication of complex numbers: Example 1: Combine the subsequent complex numbers: (4 + 3i) + (8 - 2i) - (7 + 3i) =  Solution: (4 + 3i) + (8 - 2i) - (7 + 3i

Mike sells on the average 15 newspapers per week (Monday – Friday). Find the probability that 2.1 In a given week he will sell all the newspapers

2x+2y=10 and 3y+4x=9


what is actual error and how do you calculate percentage error