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

Compute the total and annual return on the investment, 1. Calculate the ann...

1. Calculate the annual interest that you will receive on the described bond-A $500 Treasury bond with a current yield of 4 .2% that is quoted at 106 points? 2. Compute the tota

What is the area of the court in square feet, A racquetball court is 40 ft ...

A racquetball court is 40 ft through 20 ft. What is the area of the court in square feet? The area of a rectangle is length times width. Thus, the area of the racquetball court

Trigonometry, what are reason inside a circle?

what are reason inside a circle?

Rounding, how do you round to the nearest dollars?

how do you round to the nearest dollars?

Find out the area of the circle, 1. The number of accidents attended to by ...

1. The number of accidents attended to by 6 emergency ambulance stations during a 5 month period was: Station May June July Aug Sep      A        21     20     22    37    37

Determine the measure of angle, Two sides of a picture frame are glued toge...

Two sides of a picture frame are glued together to form a corner. Each side is cut at a 45-degree angle. Using the illustration provided, ?nd the measure of ∠A. a. 45° b

Co-ordinate geometry, CO-ORDINATE GEOMETRY : Mathematics  is  the  tool  s...

CO-ORDINATE GEOMETRY : Mathematics  is  the  tool  specially suited  for  dealing with  abstract concepts  of any  kind  and there  is  no limit  to  its  power  in this  field.

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