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.

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


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

Math help, I need help with direct variation between x and y

I need help with direct variation between x and y

Variance, Variance Consider the example of investment opportunities. Th...

Variance Consider the example of investment opportunities. The expected gains were Rs.114 and Rs.81 respectively. The fact is that an investor also looks at the dispersion befo

Determine the nand gate, Find out the two inputs when the NAND gate output ...

Find out the two inputs when the NAND gate output will be low. Ans. The output of NAND gate will be low if the two inputs are 11. The Truth Table of NAND gate is shown

Explain binomial distribution, Q. Explain Binomial Distribution? Ans. ...

Q. Explain Binomial Distribution? Ans. The binomial distribution occurs when you are considering the probability function of a binomial experiment. Binomial Experiment

Fractions rates and ratios, In 6th grade I am learning about ratios rates a...

In 6th grade I am learning about ratios rates and fractions. I am working on vmathlive.com and need serious.

Equal matrices - linear algebra and matrices, I need assignment help for Eq...

I need assignment help for Equal Matrices. can you please define Equal Matrices?

Distance and Section Formulae, find the coordinates of points of tri-sectio...

find the coordinates of points of tri-section of the line joining the points (-3,0) and (6,6).

Write Your Message!

Captcha
Free Assignment Quote

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!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd