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

Creating input- output tables, How do I create an input-output table with t...

How do I create an input-output table with the rule -12

Sciencetific notations, how would you answer a question like this on here ...

how would you answer a question like this on here (8x10^5)

Technical Mathematic, Convert or Reduce Reduce 4,500 micrograms to grams

Convert or Reduce Reduce 4,500 micrograms to grams

Arc length with polar coordinates, Arc Length with Polar Coordinates H...

Arc Length with Polar Coordinates Here we need to move into the applications of integrals and how we do them in terms of polar coordinates.  In this part we will look at the a

Sum, As1212uestion #Minimum 100 words accepted#

As1212uestion #Minimum 100 words accepted#

Clique graph, Consider the clique graph below. a) How many subgraph...

Consider the clique graph below. a) How many subgraphs of G with 3 nodes are there?  b) How many of the subgraphs defined in part(a) are induced subgraphs?

Simultaneous equations by substitution, Simultaneous equations by substitut...

Simultaneous equations by substitution: Solve the subsequent simultaneous equations by substitution. 3x + 4y = 6      5x + 3y = -1 Solution: Solve for x: 3x = 6

Find the coordinates of c , Plot the points A(2,0) and B (6,0) on a graph p...

Plot the points A(2,0) and B (6,0) on a graph paper. Complete an equilateral triangle ABC such that the ordinate of C be a positive real number .Find the coordinates of C   (Ans: (

Randomly chosen boy can run this race in 302 sec, School run known to posse...

School run known to possess normal distribution with mean 440 sec & SD 60 sec. What is probability that randomly chosen boy can run this race in 302 sec.

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