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

Calculus, Given f (x) =10x^3 - x^5 , find all intervals(in Interval Notatio...

Given f (x) =10x^3 - x^5 , find all intervals(in Interval Notation) of Concavity and the x-values of all Inflection Points.

Math, how to compare fractions

how to compare fractions

One-to-one correspondence in learning maths, How does your answer to this q...

How does your answer to this question compare with mine, which follows? i) To begin with, 1 laid the beads out in a row for counting, so that I wouldn't leave any out or count a

Analalitic geometry, 1. Write down the canonical equations of the line pass...

1. Write down the canonical equations of the line passing through the point A(2,3, 4) and being parallel to the vector q ={5,0,-1}.

Find the value of a+b, If A, B are acute angles and sinA= cosB, then find t...

If A, B are acute angles and sinA= cosB, then find the value of A+B. Ans:    A + B = 90 o

Classify quadrilaterals, which quadrilaterals have only 1 pair of parallel ...

which quadrilaterals have only 1 pair of parallel sides

Quadratic Equations, how to find minimum value of quadratic equation?

how to find minimum value of quadratic equation?

Logarithmic differentiation, Logarithmic Differentiation : There is one...

Logarithmic Differentiation : There is one final topic to discuss in this section. Taking derivatives of some complicated functions can be simplified by using logarithms.  It i

Continuity, give me some examples on continuity

give me some examples on continuity

Math, A small square is located inside a bigger square. The length of the s...

A small square is located inside a bigger square. The length of the small square is 3 in. The length of the large square is 7m. What is the area of the big square if you take out t

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