What is the equation of the locus of points at a distance of sqrt(20)√20 units from (0,1)(0,1)? What are the coordinates of the points on the line y=1/2x+1y=12x+1 at a distance of sqrt(20)√20 from (0, 1)(0,1)?
1 Answer
Equation:
Coordinates of specified points:
Explanation:
Part 1
The locus of points at a distance of
is the circumference of a circle with radius
The general form for a circle with radius
In this case
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Part 2
The coordinates of the points on the line
are the intersection points of
Substituting
Either
or