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

Market, what is market,what is marketing

what is market,what is marketing

Determine how many poles are there in the stack, 1. A stack of poles has 22...

1. A stack of poles has 22 poles in the bottom row, 21 poles in the next row, and so on, with 6 poles in the top row. How many poles are there in the stack? 2. In the formula N

Help, how do I round a # and decimal

how do I round a # and decimal

Derivatives to physical systems, Derivatives to Physical Systems: A st...

Derivatives to Physical Systems: A stone is dropped into a quiet lake, & waves move within circles outward from the location of the splash at a constant velocity of 0.5 feet p

Derivative, Uses of derivative in daily life with examples.

Uses of derivative in daily life with examples.

Rational numbers, Pai is rational or irrational

Pai is rational or irrational

matlab, how to solve simplex method using matlab

how to solve simplex method using matlab?

Trigonometry, trigonometric ratios of sum and difference of two angles

trigonometric ratios of sum and difference of two angles

Determine the probability, Determine the Probability From a pack of pl...

Determine the Probability From a pack of playing cards what is the probability of; (i) Picking either a 'Diamond' or a 'Heart' → mutually exclusive (ii) Picking either

Find the 14th term in the arithmetic sequence. 60, Find the 14th term in t...

Find the 14th term in the arithmetic sequence. 60, 68, 76, 84, 92

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