Arun
Last Activity: 6 Years ago
If the circle cuts an intercept of 6 units of that line, that means length of the chord inside the circle is 6 units.
now drop a perpendicular from center to the line, it should bisect the chord.
Length of perpendicular dropped from center can be found out by
p=|2*3-5*(-1)+18|/root(2^2+5^2) =root(29)
From Pythagoras theorem,
root(p^2+3^2)=r^2, where r is the radius of the circle
=>r=root(38)
hence, equation of circle is
(x-3)^2 + (y+1)^2 = 38
