Prove that op=2ap, Mathematics

Assignment Help:

Two tangents PA and PB are drawn to the circle with center O, such that ∠APB=120o. Prove that OP=2AP.

1988_circle6.png

Ans:    Given : - ∠APB = 120o Construction : -Join OP To prove : -OP = 2AP

Proof :- ∠APB = 120o

∴∠APO = ∠OPB = 60o

Cos 60o =  AP/OP

1/2 = AP/OP

∴OP = 2AP

Hence proved


Related Discussions:- Prove that op=2ap

Determine the probability, An insurance company/organization takes a keen i...

An insurance company/organization takes a keen interest in the age at which a person is insured. Thus a survey conducted on prospective clients indicated that for clients having th

Find the maximum expected holdings, Problem: A person has 3 units of mo...

Problem: A person has 3 units of money available for investment in a business opportunity that matures in 1 year. The opportunity is risky in that the return is either double o

rational nmber, every rational nmber is expressible either as a_________or...

every rational nmber is expressible either as a_________or as a____________decimal.

Determine how many valid fortran identifiers, A valid identifier in the pro...

A valid identifier in the programming language FORTAN contains a string of one to six alphanumeric characters (the 36 characters A, B,...., Z, 0, 1,...9) starting with a letter. De

Law of Cosines, The law of cosines can only be applied to acute triangles. ...

The law of cosines can only be applied to acute triangles. Is this true or false?

Find out the greatest common factor, Find out the Greatest Common Factor? ...

Find out the Greatest Common Factor? The largest number that is a common factor of two numbers (that is, both numbers share the same factor) is called the greatest common facto

Satistics, I have about 6 Statistics questions, can anyone help me?

I have about 6 Statistics questions, can anyone help me?

Duality., advanteges of duality

advanteges of duality

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