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

Abels theorem, If y 1 (t) and y 2 (t) are two solutions to y′′ + p (t ) ...

If y 1 (t) and y 2 (t) are two solutions to y′′ + p (t ) y′ + q (t ) y = 0 So the Wronskian of the two solutions is, W(y 1 ,y 2 )(t) = =

Bussiness, How do these websites help the company strengthen its relationsh...

How do these websites help the company strengthen its relationships with its stakeholders? List the website(s) that you previewed and give examples to support your answers. Who are

Objectives of learning to count, Objectives :  After studying this unit, y...

Objectives :  After studying this unit, you should be able to : 1.   explain the processes involved in counting; 2.   explain why the ability to recite number names is no in

Set builder notation, For inequalities we contain a similar notation.  Base...

For inequalities we contain a similar notation.  Based on the complexity of the inequality the solution set might be a single number or it might be a range of numbers. If it is jus

Fractions, How do you add 7/9 + 6/8 + 3/4

How do you add 7/9 + 6/8 + 3/4

Find out the determinant, Find out the determinant: Find out the deter...

Find out the determinant: Find out the determinant of the following 3 x 3 matrix, expanding about row 1. Solution:

Who had the highest batting average, Mike, Dan, Ed, and Sy played together ...

Mike, Dan, Ed, and Sy played together on a baseball team. Mike's batting average was 0.349, Dan's was 0.2, Ed's was 0.35, and Sy's was 0.299. Who had the highest batting average?

Prove the equality of axiom choice, (1) Prove that Zorn's lemma is equivale...

(1) Prove that Zorn's lemma is equivalent to axiom of choice. (2) Use Zorn's Lemma to prove the existence of E.

Derive a linear system - gauss jordan elimination, Suppose that, on a certa...

Suppose that, on a certain day, 495 passengers want to fly from Honolulu (HNL) to New York (JFK); 605 passengers want to fly from HNL to Los Angeles (LAX); and 1100 passengers want

Integration, Integration of square root of sin

Integration of square root of sin

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