Posted by sammy on Saturday, September 1, 2007 at 5:07pm.
a circle is tangent to the yaxis at y=3 and has one xintercept at x=1
1. determine the other xintercept
2. find an equation for the circle
so i know two points on the circle are (0,3) and (1,0) and the equation for a circle is (xa)^2 + (yb)^2 = r^2 but i don't know how to solve the two questions

calc  Count Iblis, Saturday, September 1, 2007 at 5:53pm
The circle is tangent to the yaxis at y = 3. From this it follows that the center of the circle must be located somewhere on the line y = 3. Therefore b = 3.
The point (0,3) is on the circle, so:
a^2 = r^2
The point (1,0) is on the circle:
(1a)^2 + 9 = r^2
Suntracting these two equations gives:
a^2  (1a)^2 = 0 >
(2a  1) =0>
a = 1/2
And for this you can easily find r.
Answer This Question
Related Questions
 math  A circle is tangent to the yaxis at y=3 and has one intercept at x=1. a...
 math  a circle is tangent to the yaxis at y=3 and has one xintercept at x=1 a...
 Math  A circle is tangent to the yaxis at y=3 and has one xintercept at x=1, ...
 mathematics  The circle x22x+y24y4=0 lies on the cartesian plane,question 2....
 mathematics  The circle x22x+y24y4=0 lies on the cartesian plane,question 2....
 mathematics  The circle x22x+y24y4=0 lies on the cartesian plane,question 2....
 mathematics  The circle x22x+y24y4=0 lies on the cartesian plane,question 2....
 maths  1) Circle centre (7,2) passes through (2,10). Calculate radius and ...
 math  1. two circles. x^2+y^216x8y+35=0 and x^2+y^2=5 are given. a. write the...
 PreCalc  Describe the conditions necessary for the two circles, where circle a...
More Related Questions