Prove intercept of a tangent between two parallel, Mathematics

Assignment Help:

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

Since Δ ADF ≅ Δ DFC

∠ADF = ∠CDF

∴ ∠ADC = 2 ∠CDF

Similarly we can prove ∠CEB = 2∠CEF

Since || m

∠ADC + ∠CEB = 180^o

⇒2∠CDF + 2∠CEF = 180^o

⇒ ∠CDF + ∠CEF = 90^o

In Δ DFE

∠DFE = 90^o

Related Discussions:- Prove intercept of a tangent between two parallel

Problems involving motion - word problems, Problems Involving Motion - Word...

Problems Involving Motion - Word Problems: How far can a car travelling at a rate of 52 miles per hour travel in 2½ hours? Solution: Using Equation 13: s = vavt

Homogeneous differential equation, Assume that Y 1 (t) and Y 2 (t) are two ...

Assume that Y 1 (t) and Y 2 (t) are two solutions to (1) and y 1 (t) and y 2 (t) are a fundamental set of solutions to the associated homogeneous differential equation (2) so, Y

Compute the value of the following limit, Compute the value of the followin...

Compute the value of the following limit. Solution: Notice as well that I did say estimate the value of the limit. Again, we will not directly compute limits in this sec

Ratio, There are only Chinese and Malay pupils in a hall.The ratio of the n...

There are only Chinese and Malay pupils in a hall.The ratio of the number of boys to the number of girls is 2:3.The ratio of the number of Chinese boys to the number of Malay boys

Tower of hanoi, how to create an activity of tower of hanoi

how to create an activity of tower of hanoi

What is median number of tries it took these participante, The operator of ...

The operator of an amusement park game remain track of how many tries it took participants to win the game. The subsequent is the data from the ?rst ten people: 2, 6, 3, 4, 6, 2, 8

#According to the CDC there were 597, Ask question #Minimum 100 words acceA...

Ask question #Minimum 100 words acceAccording to the CDC there were 597,689 deaths in the US in 2010 attributed to heart disease. a) Given That the US population in 2010 was clos

X and Y Intercepts, Find the x and y intercepts for the following equations...

Find the x and y intercepts for the following equations: 3y=3x -y=-x-4 2x+3y=6 y=5

Intrgers, how to evaluate the sums

how to evaluate the sums

Evaluating the function at the point of limit, Calculate the value of the f...

Calculate the value of the following limit. Solution: This first time through we will employ only the properties above to calculate the limit. Firstly we will employ prop

Write Your Message!

Name

Email id

Message

Verfication Code

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!

Submit Assignment

User Account

All Pages