How do you write the equation of the locus of all points in the coordinate plane 10 units from (–6, 9)?

1 Answer
Oct 6, 2016

circle with equation #(x+6)^2+(y-9)^2=100#


The points will lie on the circumference of a circle with centre (-6 ,9) and radius of 10.
The standard form of the equation of a circle is.

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

here a = -6 , b = 9 and r = 10


#rArr(x+6)^2+(y-9)^2=100" is the equation of the locus"#