Problem 215
Write the equation of the circle with the given center and radius: Center at (1, 2); radius =
Solution
when center (x1,y1)and the radius R are given then
the equaiton of circle is
(x – x1 )2 + (y-y1 )2 = R 2
center is (1,0)
and radius is
put all values in above formula
(x-1)2 + (y – 0)2 = () 2
x2 + 1 – 2 x + y2 =
x2 – y2 + 1 – =0
x2 – y2 – =0
4x 2 – 4y 2 – 3=0