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

Triangle, we have to find the perimeter when 1 rib is 7 cm and another rib...

we have to find the perimeter when 1 rib is 7 cm and another rib is 5 cm

How to adding rational expressions with common denominators, Adding Rationa...

Adding Rational Expressions with Common Denominators To add or subtract fractions or rational expressions with common denominators, all you do is add or subtract the numerators

Statistics and probability, STATISTICS AND PROBABILITY : Statistics  ar...

STATISTICS AND PROBABILITY : Statistics  are the  only  tools  by  which  an  opening  can  be  cut  through  the formidable  thicket  of difficulties  that bars the  path  of

Customary units of length, Eileen needs 9 feet of fabric to make a skirt. I...

Eileen needs 9 feet of fabric to make a skirt. If Eileen has 18 feet of fabric how many skirts can she make?

Linear programming, what is the advantage of dual linear problem programmin...

what is the advantage of dual linear problem programming when we maximize profit then what is need to minimize cost of the same problem

Find the initial number of balls, Balls are arranged in rows to form an equ...

Balls are arranged in rows to form an equilateral triangle .The first row consists of one ball, the second two balls and so on.   If 669 more balls are added, then all the balls ca

Series, find the series of the first twenty terms

find the series of the first twenty terms

Conjugate of the complex number, The conjugate of the complex number a + b ...

The conjugate of the complex number a + b i is the complex number a - b i .  In other terms, it is the original complex number along the sign on the imaginary part changed.  Here

Solution by factorization, Solution by Factorization, please solve quadrati...

Solution by Factorization, please solve quadratic equations by Factorization.

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