Four distinct points on a circle, Mathematics

Assignment Help:

If (a,1/a), (b,1/b),(c,1/c),(d,1/d) are four distinct points on a circle of radius 4 units then,abcd is equal to??

 

Ans) As they are of form (x,1/x)

let eq of circle be x2+y2+2gx+2fy+c=0

it passes by general pt (x,1/x)

Substituting we get 4th degree in x

a,b,c,d are roots of it

by theory of equations it is constant term/coefficient of x2

then it comes to be 1

 


Related Discussions:- Four distinct points on a circle

Word problem, a recipe good for 4 servings require 1/8 tsp. black pepper an...

a recipe good for 4 servings require 1/8 tsp. black pepper and 1/2 tsp. of salt. how much black pepper and how much salt needed for 2 servings?

what fill amount are they searching, Brewery has 12 oz bottle filling mach...

Brewery has 12 oz bottle filling machines.  Amount poured by machine is normal distribution mean 12.39 oz  SD 0.04 oz. Company is interested in in reducing the amount of extra beer

Concurrent deviation method, Normal 0 false false false ...

Normal 0 false false false EN-IN X-NONE X-NONE

probability that they are both the same color, Consider two bags, A and B,...

Consider two bags, A and B, with the following contents a)    A single marble is drawn from each bag. What is the probability of getting a white marble out of Bag A and a red marb

The low temperature in Achorage, The low temperature in Anchorage, Alaska t...

The low temperature in Anchorage, Alaska today was negative four degrees. The low temperature in Los Angeles, California was sixty-three degreees. What is the difference in the two

Solve and graph equation of parabola, SOLVE AND GRAPH THE PARABOLA NOTE: W...

SOLVE AND GRAPH THE PARABOLA NOTE: WRITE YOUR SOLUTIONS AND COMPLETE EQUATION OF GRAPH SPOINTS EACH 1. V(0,0) (0.2) P-2 2. V(0,0) E-5,0) P=-5 3. V(4-3) F(4,-2) P=1 4. V-1,5)

Calculate the average return, A department store faces a decision for a sea...

A department store faces a decision for a seasonal product for which demand can be high, medium or low. The purchaser can order 1, 2 or 3 lots of this product before the season beg

Find the value of x of an arithmetic progressions, Find the value of x if 2...

Find the value of x if 2x + 1, x 2 + x +1, 3 x 2 - 3 x +3 are consecutive terms of an AP. Ans:  a 2 -a 1 =  a 3 -a 2 ⇒   x 2 + x + 1-2 x - 1 = 3x 2 - 3x + 3- x

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