Prove intercept of a tangent between two parallel, Mathematics

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

Posted Date: 4/10/2013 5:27:43 AM | Location : United States







Related Discussions:- Prove intercept of a tangent between two parallel, Assignment Help, Ask Question on Prove intercept of a tangent between two parallel, Get Answer, Expert's Help, Prove intercept of a tangent between two parallel Discussions

Write discussion on Prove intercept of a tangent between two parallel
Your posts are moderated
Related Questions
Question 1. Use cylindrical coordinates to nd the mass of the solid of density e z which lies in the closed region  Question 2. The density of a hemisphere of radius a (y 

Show that the radius of the circle,passing through the centre of the inscribed circle of a triangle and any two of the centres of the escribed circles,is equal to the diameter of t

Describe Graphing Equations with a Positive Slope? There are 3 steps to graphing a linear equation: 1. Identify and plot the y-intercept. 2. Determine the slope. Use the slope


"To grow your brand, you need to encourage your existing customers to buy your product a liitle more often. It is far more important to maximise the number of times your buyers buy

can you help me with math

1. Consider a source with 4 symbols {a,b,c,d}. The probability of the 4 symbols are P(a)=0.4, p(b) = 0.1, p(c)=0.2, p(d)= 0.3. a. Design a Huffman codebook for these symbols.

A baseball card was worth $5.00 in 1940. It doubled in value every decade. How much was it worth in 2000?

Evolve a game to help children remember basic multiplication facts. In this section we have looked at ways of helping children absorb some simple multiplication facts. But what

Objectives After studying this unit, you should be able to 1.  evolve and use alternative activities to clarify the learner's conceptual 2.  understanding of ones/tens/hu