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

Compound interest, you have RM5O,OOO to invest,and two fund that you''d li...

you have RM5O,OOO to invest,and two fund that you''d like to invest in.The You-Risk-It Fund yields 14% interest.The Extra-Dull Fund yields 6% interest.Besause of college financial-

Determine the tangent line to f ( x ) = 15 - 2x2 at x = 1, Determine the t...

Determine the tangent line to f ( x ) = 15 - 2x 2   at x = 1. Solution : We know from algebra that to determine the equation of a line we require either two points onto the li

Estimate how much did larry spend, Larry purchased 3 pairs of pants for $24...

Larry purchased 3 pairs of pants for $24 each or have 5 shirts for $18 each. How much did Larry spend? Divide the miles through the time to find the rate; 3,060 ÷ 5 = 612 mph.

Shoppers` stop, 3. How are Indian customers visiting Shoppers’ Stop any dif...

3. How are Indian customers visiting Shoppers’ Stop any different from customers of developed western countries? 4. How should Shoppers’ Stop develop its demand forecasts?

3, LAST COST METHOD

LAST COST METHOD

Union and intersection - set theory, Union and Intersection - Set theory ...

Union and Intersection - Set theory B ∩ C indicates the intersection of B and C. it is the set having all those elements that belong to both B and C If B = {5, 8, 11, 20, 2

Mensuration, if area of a rectangle is 27 sqmtr and it perimeter is 24 m fi...

if area of a rectangle is 27 sqmtr and it perimeter is 24 m find the length and breath#

Initial value problems, Write a Matlab function MyIVP that solves an initia...

Write a Matlab function MyIVP that solves an initial-value problem (IVP) for a system of ordinary differential equations (ODEs) of the form x ?(t) = f (t, x(t)), where f : R × Rn ?

Capture a curvature in the relationship - quadratic model, 1. Consider the ...

1. Consider the model Y t = β 0 + β 1 X t + ε t , where t = 1,..., n.  If the errors ε t are not correlated, then the OLS estimates of  β 0   and β

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