No products in the cart.

Explain theorem 10.10 class 9

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

Install Now

Explain theorem 10.10 class 9

Posted by Shreya Gupta 5 years, 3 months ago

CBSE > Class 09 > Mathematics

1 answers

Gaurav Seth 5 years, 2 months ago

10.10 theorem :

If a line segment joining two points subtends equal angles at two other points lying on the same side of the line containing the line segment , the four points lie on a circle i.e (they are concyclic)

A , B , C , D are 4 points ( no 3 of them are collinear)

Lets draw a circle passing through A , B , C with Center O.

Assume D does not lie on circle

and circle intersect AD at E

=> A , B , C & E are concyclic

now ∠ACB = ∠AEB ( Angle formed by same chord in same arc segment)

∠ACB = ∠ADB given

in Δ DEB

∠AEB = ∠EDB + ∠EBD

=> ∠AEB = ∠ADB + ∠EBD

=> ∠ACB = ∠ACB + ∠EBD

=> ∠EBD = 0°

=> E & D Coincide

A , B , C & E are concyclic

E & D coincide

=> A , B , C & D are concyclic

1Thank You

ANSWER

Test

Related Questions

This content has been hidden. One or more users have flagged this content as inappropriate. Once content is flagged, it is hidden from users and is reviewed by myCBSEguide team against our Community Guidelines. If content is found in violation, the user posting this content will be banned for 30 days from using Homework help section. Suspended users will receive error while adding question or answer. Question comments have also been disabled. Read community guidelines at https://mycbseguide.com/community-guidelines.html

Few rules to keep homework help section safe, clean and informative.

Don't post personal information, mobile numbers and other details.
Don't use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions.
Be nice and polite and avoid rude and abusive language. Avoid inappropriate language and attention, vulgar terms and anything sexually suggestive. Avoid harassment and bullying.
Ask specific question which are clear and concise.

Remember the goal of this website is to share knowledge and learn from each other. Ask questions and help others by answering questions.

Posted by Sheikh Alfaz 2 months, 3 weeks ago

CBSE > Class 09 > Mathematics

0 answers

Cost of a pen is two and half times the cost of a pencil. Express the situation as a linear equation in two variables

Posted by Kirshika Ganesh 11 months ago

CBSE > Class 09 > Mathematics

0 answers

2x²+[1×(8x²)^-1]+1

Posted by Less Goo 1 year, 5 months ago

CBSE > Class 09 > Mathematics

0 answers

sides of a triangle are in the ratio of 12:17:25 and its perimeter is 540cm. find its area

Posted by Akhilesh Patidar 1 year, 5 months ago

CBSE > Class 09 > Mathematics

0 answers

X³-12x²+39x-28

Posted by Sukhi Devasi 1 year, 5 months ago

CBSE > Class 09 > Mathematics

0 answers

Prove that the sum of all the three interior angles of a triangle is 180 degree

Posted by Savitha Savitha 1 year, 5 months ago

CBSE > Class 09 > Mathematics

0 answers

3√2×4√2×12√32

Posted by Manas Khurana 7 months, 3 weeks ago

CBSE > Class 09 > Mathematics

0 answers

Don't post personal information, mobile numbers and other details.
Don't use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions.
Be nice and polite and avoid rude and abusive language. Avoid inappropriate language and attention, vulgar terms and anything sexually suggestive. Avoid harassment and bullying.
Ask specific question which are clear and concise.

Remember the goal of this website is to share knowledge and learn from each other. Ask questions and help others by answering questions.

Posted by Yash Pandey 7 months, 1 week ago

CBSE > Class 09 > Mathematics