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# Coordinate Geometry Quiz

Test your skills in coordinate geometry with this quiz. Explore finding the equation of a line passing through two points, calculating the midpoint of a line segment, and determining the equation of the locus of a point equidistant from two given points.

Created by
@FavoredAquamarine

### What is the midpoint of line segment AB?

The midpoint of line segment AB is $((1+2)/2, (3+1)/2) = (1.5, 2)$.

### What is the equation of the line passing through points A(1, 3) and B(2, 1)?

The equation of the line passing through points A(1, 3) and B(2, 1) is $y = -2x + 5$.

### What is the equation of the locus of point P such that PA=PB?

The equation of the locus of point P such that PA=PB is the perpendicular bisector of line segment AB, which is $x - 3y + 5 = 0$.

### Match the following geometric shapes with their properties:

<p>Circle = Set of all points equidistant from a center point Parabola = Set of all points equidistant from a fixed point (focus) and a fixed line (directrix) Ellipse = Set of all points such that the sum of the distances to two fixed points (foci) is constant Hyperbola = Set of all points such that the absolute value of the difference of the distances to two fixed points (foci) is constant</p> Signup and view all the answers

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