Skip to main content

Prove that the diameter is the greatest chord of a circle

Image

Proposition:

Let O be the centre of the circle ABCD. Let AB be the diameter and CD be a chord other than diameter of the circle. It is required to prove that AB > CD.

Quick Navigation: Trigonometry Unit Circle


Construction:

Join O,C and O,D.

Proof:

OA = OB = OC = OD (radius of the same circle)
Now, in ΔOCD,
OC + OD > CD
or, OA + OB > CD
Therefore, AB > CD. (Proved)
TOPICS:

Comments

Post a Comment

Dear readers,
Your feedback is always appreciated. We will reply to your queries within 24hrs. Before writing your comments, please read the following instructions attentively:

1. Please comments in English. We accept only English comments.

2. Please do not Spam. All spammed comments will be deleted as soon as pobile, after review.

3. Please do not Add Links with your comments as they will not be published.

4. If We can be of assistance, please do not hesitate to contact us.

List of Popular Posts

Write a dialogue between two friends about the proper use of time

Suppose, You are Lina and Mina is you best friend. Now, write a dialogue between you and Mina about the proper use of time.

Dialogue: A dialogue between two friends (myself: Lina and my friend: Mina) about the proper use of time.

Lina: Hello Mina, how are you?
Mina: I'm not well.

Lina: Why! What happened?
Mina: My results of the HSC pre-test examination are not good.

Lina: What's the problem? Didn't you learn your lessons regularly?
Mina: No, I was not serious in using time properly and very often I wasted my valuable time on Facebook.


Lina: Oh, God, you are sure to fail in the HSC Examination.
Mina: Please tell me what I can do.

Lina: You must be sincere about your time. If you utilize of your time, you are sure to succeed.
Do you know about the benefits of using time properly?
Mina: Oh, no. I don't.

Quick navigation:Write a dialogue between two friends about national poet Kazi Nazrul Islam
Lina: All the great men of the world had made the proper use of time. They were very sincer…
Post a Comment
Read more

Write a dialogue between two friends about the uses and abuses of Internet

Write a dialogue between two friends about the uses and abuses of Internet.

Dialogue:A dialogue between two friends (Lina & Mina) the uses and abuses of Internet.

Lina: Hi! How are you, Mina?
Mina: Fine and you?

Lina: I'm also fine. Where are you going now?
Mina: I'm going to the cyber cafe. I will have to submit an application via internet.


Lina: Oh I see. I will be very glad if you kindly tell me something about the uses of Internet.
Mina: Internet is a computerized network of information. Internet allows us to meet new people and discover new places even though we are not there. With the help of internet, we can get information about new books, movies, latest news, music, medicine, invention and can send mail electronically to any part of the world.

Composition:Uses and Abuses of Internet
Lina: How does it work in the field of education?
Mina: With the help of Internet we can get foreign education. A student no longer needs to spend long hours in libraries searching for a desired…
Post a Comment
Read more

Write a dialogue between two friends on environment pollution

Dialogue about environment pollution.Karim: Good morning, Rahim?
Rahim: Good morning.

Karim: How are you, friend?
Rahim: I am fine and you?

Read:Write a dialogue between  two friends about the cause, effect and possible suggestion of remedy for drug addiction.
Karim: I am also fine. But why do you look so worried?
Rahim: You are right. I am somewhat worried about environment pollution.

Karim: Oh, Yes! Environmental pollution is one of the biggest problems the world faces today. It is being polluted day by day.
Rahim: You are absolutely right. This polluted environment causes much harm to us.

Karim: Exactly! But what are you thinking about its consequences?
Rahim: The consequence of environmental pollution is an issue that troubles us economically, physically and everyday of our lives.


Karim: Absolutely! Besides, the increase of world temperature is the result of environment pollution. What is your idea about it?
Rahim: I agree with you. I think the plants and animals are likely to be extinct…
Post a Comment
Read more

LLB Colleges under National University, Bangladesh

National University, Bangladesh offers two (02) years Bachelor of Laws (LL.B.) as a professional Post-graduate Degree.

To obtain two years LL.B. Post-graduate Degree from National University(NU), Bangladesh; should need to complete one year LL.B. (Part -1: Preliminary) course, and after passing one year LL.B. (Part -1: Preliminary) course,  should need to complete one year LL.B. (Part-2: Final) course.


There are many colleges offer LL.B. Post Gradate Degree under National University, Bangladesh. To admit, could choice favourite college from following list:

LLB Colleges Under National University, Bangladesh
Sl No. College name College Code 001 BAGERHAT LAW COLLEGE, BAGERHAT 0119 002 BANGABANDHU LAW COLLEGE, COMILLA 3751 003
Post a Comment
Read more

NU Degree Pass Course Subject & Subject Code List | B.A Pass Course

National University, Bangladesh Three Years Degree Pass Course Subject & Subject Code ListThree Years B.A Pass Course Effective from the Session: 2013–2014
Subject: Arabic
Post a Comment
Read more