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

Find the volume and surface area of the double cone formed, A right triangl...

A right triangle whose sides are 15 cm and 20 cm is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed. (Ans : 3768cu.cm,1318.8

Multiplication of two matrices, Need assignment help, Explain Multiplicatio...

Need assignment help, Explain Multiplication of two Matrices.

Completely factored polynomial, Factoring polynomials Factoring polynom...

Factoring polynomials Factoring polynomials is done in pretty much the similar manner.  We determine all of the terms which were multiplied together to obtain the given polynom

Describe vibration absorber and white noise, Describe what is meant by eac...

Describe what is meant by each of the following NVH terms and explain their importance in vehicle refinement: (a)  Vibration absorber (b)  Fast Fourier Transform (c)  Whit

Diameter of the circle , The length of the diameter of the circle which tou...

The length of the diameter of the circle which touches the X axis at the point (1,0) and passes through the point (2,3) is ? Solution)  If a circle touches the x-axis, its equatio

Definition of vertical asymptote, Vertical asymptote Definition : The funct...

Vertical asymptote Definition : The function f(x) will contain a vertical asymptote at x = a if we contain any of the following limits at x = a .   x→a- Note as well that it

Solve cos( 4 ) = -1 trig function, Solve cos( 4 θ ) = -1 . Solution ...

Solve cos( 4 θ ) = -1 . Solution There actually isn't too much to do along with this problem.  However, it is different from all the others done to this point.  All the oth

Differentials, Differentials : In this section we will introduce a nota...

Differentials : In this section we will introduce a notation. We will also look at an application of this new notation. Given a function y = f ( x ) we call dy & dx differen

Solids, a can of soup is shaped like wich solid

a can of soup is shaped like wich solid

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