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

Calculate the probability, Data collected from the STATS 10x class survey o...

Data collected from the STATS 10x class survey one semester included responses to questions on the number of different sexual partners and on the number of pairs of shoes the stude

Trigonmetry, [3+tan20+tan80]/tan20+tan80

[3+tan20+tan80]/tan20+tan80

Steps for integration strategy - integration techniques, Steps for Integrat...

Steps for Integration Strategy 1. Simplify the integrand, if possible This step is vital in the integration process. Several integrals can be taken from impossible or ve

Setup the mass balance equation - linear system method, Two tanks initially...

Two tanks initially contain 100 liter liquid each. Their initial concentration are listed in the Figure below. At time zero, the input and output valves are opened simultaneously w

Children have their own strategies for learning maths, Children Have Their ...

Children Have Their Own Strategies For Learning Vibhor, aged 7, was once asked if he knew what 'seven lots of eight' are. He said he didn't. He was then asked, "Can you work it

How much does it car cost her per year, Ashley's car insurance costs her $1...

Ashley's car insurance costs her $115 per month. How much does it cost her per year? Multiply $115 by 12 because there are 12 months in a year; $115 × $12 = $1,380 per year.

Find the probability density function, 1. The lifetime T (in days) of an el...

1. The lifetime T (in days) of an electrical component has reliability function given by: R(t) = e -0.01t for time t > 0. An electrical system consists of four such components. Th

Mathematical induction theorem, mathematical induction theorem

mathematical induction theorem

Example of function, Example Suppose the demand and cost functio...

Example Suppose the demand and cost functions are given by Q = 21 - 0.1P and C = 200 + 10Q Where, Q - Quantity sold

Trigonometry, sin 51+cos 81

sin 51+cos 81

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