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

Example of circles - common polar coordinate graphs, Example of Circles - C...

Example of Circles - Common Polar Coordinate Graphs Example: Graph r = 7, r = 4 cos θ, and r = -7 sin θ on similar axis system. Solution The very first one is a circle

Derivative for the trig function, Derivative for the trig function: We'll ...

Derivative for the trig function: We'll begin with finding the derivative of the sine function. To do this we will have to utilize the definition of the derivative. It's been wher

Student, Patio measures 24 meters square. Patio stone are 30 cm each side. ...

Patio measures 24 meters square. Patio stone are 30 cm each side. How many stones are required to cover the patio?

Multiple, what number does not belong 43,47,53,59,65,67

what number does not belong 43,47,53,59,65,67

SURFACE AREA AND VOLUMES, Metallic spheres of radii 6 centimetre, 8 centime...

Metallic spheres of radii 6 centimetre, 8 centimetre and 10 centimetres respectively are melted to form a single solid sphere. Find the radius of the resulting sphere.

Find regular grammar for given regular expression, find regular grammar for...

find regular grammar for the following regular expression: a(a+b)*(ab* +ba*)b

Possible outcome of a coin - probability based question, A coin is tossed t...

A coin is tossed twice and the four possible outcomes are assumed to be equally likely. If A is the event,  both head and tail have appeared , and B be the event at most one tail i

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