SOLUTION: Hi, I'm studying for an evaluation by the Japanesse Government and they provided me old tests to study from. The answer to this particular problem is "5" but i dont know how the he

Question 1077712: Hi, I'm studying for an evaluation by the Japanesse Government and they provided me old tests to study from. The answer to this particular problem is "5" but i dont know how the heck they got that answer without a centre nor a radius stated in the problem. The Problem says:
" there exist two circles that go through two points (1,3); (2,4) and are tangent to the y-axis. Letting the radii of the circles be a, b implies that ab=? "

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The perpendicular bisector of the line segment between the given points will contain the centers of the two circles. That bisector line is:

The distance from a point on the line (, ) to one of the points will equal the distance from the point on the line to the y-axis.

�... expand the left side
...� express in standard form
� factor
= { , } = { , }........ � these are the x-coordinates of the circle centers, and also their radii

here is image:

RELATED QUESTIONS
Hi , could someone help me simplify the following expession L^2M(2-M)/L^3(M-2) , I know (answered by ewatrrr)

Victoria needs to study for a math exam. The exam is in 18 days. She has decided to... (answered by stanbon)

Hi, I found the answer to this by guessing and checking, but please help me by giving me... (answered by josgarithmetic,ikleyn)

Hi my name is Lizbeth. And I have some algebra homework that i don't really understand... (answered by 10301650)

A study was done to determine the proportion of voters that feel that their local... (answered by stanbon)

Evaluate the double integral by converting it into polar coordinates: integral from 1 to (answered by CPhill,ikleyn)

What propotion of A students studying statistics ? The amount of time devoted to... (answered by rothauserc)

A sample of nine students is selected from among the students taking a particular exam.... (answered by solver91311)

Hello: I am studying for the clep exam for college level algebra. this is a problem in... (answered by stanbon)