Question

Write the equation of the locus of point two unit from (-3,4)

Answer 1

Locus of points equidistant from a given point is a circle. In this case, the given point (also the center of the circle) is (-3,4). All the points must be 2 units away from the given point, so the radius of the circle is 2.

You know the general equation of a circle with center (h,k):
\[(x-h)^{2}+(y-k)^{2}=r ^{2}\]
So the equation of the locus is:
\[(x+3)^{2}+(y-4)^{2}=4\]

Answer 2

Thanks ^^