Loci Quiz

What is the locus of points that are 2 units away from the point (3,4)?

• A circle with radius 2 centered at (3,4)

• A line 2 units away from the point (3,4)

• A square with sides of length 2 centered at (3,4)

• A circle with radius 4 centered at (3,4)

What is the equation of the locus of points that are 5 units away from the origin?

What is the locus of points that are equidistant from the points (1,2) and (3,4)?

• A line perpendicular to the line segment joining (1,2) and (3,4)

• A circle with diameter having endpoints (1,2) and (3,4)

• The perpendicular bisector of the line segment joining (1,2) and (3,4)

• A parabola with focus at (1,2) and directrix passing through (3,4)

What is the locus of points that are equidistant from the x-axis and y-axis?

• The origin

What is the equation of the locus of points that are 4 units away from the point (-2,3)?

What is the locus of points that form a circle with radius 6 centered at the origin?

What is the locus of points that are equidistant from the points (-3,-4) and (3,4)?

What is the locus of points that are equidistant from the points (2, -2) and (-2, 2)?