Find the equation of the circle which touches thelines `4x-3y+10=0a n d4x-3y-30=0`and whose centre lies on the line `2x+y=0.`

Find the equation of the circle which touches thelines `4x-3y+10=0a n

1.	Find the equation of the circle which touches thelines `4x-3y+10=0a n d4x-3y-30=0`and whose centre lies on the line `2x+y=0.`
Answer» `4x-3y+10=0` `4x-3y-30=0` solving the line `(2x+y=0)`and`(4x-2y+10=0)` `x=-1,y=2` Solving the line `(4x-3y-3=0)`and`(2x+y=0)` `x=3,y=-6` Distance between parallel line=d `\|(10-(-30))/sqrt(16+9)\|=d` `d=\|(10+30)/5\|` `d=8` `r=4` O is mid point of AB `(x,y)=((3-1)/2,(2-6)/2)=(1,-2)` A circle passes through center`(1,-2)` `(x-1)^2+(y+2)^2=4^2`.