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

Solution by factorization, Solution by Factorization, please solve quadrati...

Solution by Factorization, please solve quadratic equations by Factorization.

Rectilinear figures, Q1- different types of rectilinear figures? Q2- interi...

Q1- different types of rectilinear figures? Q2- interior and exterior angles of the polygon? Q3-relation between interior and exterior angles of polygons? Q4- properties of any fiv

Shortcuts, pls told the maths shortcuts

pls told the maths shortcuts

Find third order partial derivatives, Question: Find all third order pa...

Question: Find all third order partial derivatives for the function F(x,y)= log xy+ e (x+y) -x/y.

Formal languages, S-aSa;S-bSb;S-c construct an CFG

S-aSa;S-bSb;S-c construct an CFG

Fraction operation, 4 1/2 ----2----1/3=3

4 1/2 ----2----1/3=3

Sampling distribution p-hat, Caterer verifies that 87% of people who sample...

Caterer verifies that 87% of people who sampled the food thought it was delicious. A random sample of 144 out of population of 5000 taken. The 144 are asked to sample the food. If

Differential equation, degree of a diffrential equation

degree of a diffrential equation

Theory of sets, finite or infinite 1]A={4,5,6,....}

finite or infinite 1]A={4,5,6,....}

Functions , For the layman, a "function" indicates a relationsh...

For the layman, a "function" indicates a relationship among objects. A function provides a model to describe a system. Economists refer to deman

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