Question

What is the standard form of the equation of a circle passing through Center at the point (1, 0) and has the point (-2, 3)?

Answer 1

`(x-1)^2+y^2=18`

Explanation:

`"the equation of a circle in standard form is "`

`color(red)(bar(ul(|color(white)(2/2)color(black)((x-a)^2+(y-b)^2=r^2)color(white)(2/2)|)))`

`"where "(a,b)" are the coordinates of the centre"`
`"and r the radius"`

`"the radius is the distance from the centre to "(-2,3)`

`rArrr=sqrt((-2-1)^2+(3-0)^2)=sqrt18`

`rArr(x-1)^2+y^2=18" is the equation"`