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
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Circles
-> 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
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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=? "
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:
