Coordinate geometry
Points, distance and midpoints122 problems · 10 skills
Centroid and orthocentre coordinates 9Distance formula 17🔒Distance puzzles 9🔒Equidistant points 18🔒Equilateral triangles on a grid 11🔒Fourth vertex of a parallelogram 15🔒Midpoints 17🔒Missing vertex of a triangle 4🔒Section formula 16🔒Sums of coordinates 6🔒
Area from coordinates16 problems · 1 skills
Straight lines107 problems · 7 skills
Angle of inclination 17Areas bounded by lines 18🔒Intercepts and intersections 16🔒Parallel and perpendicular lines with parameters 17🔒Perpendicular slopes 10🔒Slope and intercept 12🔒Slope through two points 17🔒
Circles in coordinates105 problems · 8 skills
Centre and radius 17Chord lengths 17🔒Circles and the axes 7🔒Distances between circles and lines 18🔒Moving circles 10🔒Points on a circle 14🔒Radius from the equation 12🔒Tangent circles 10🔒
Parabolas, ellipses and hyperbolas205 problems · 15 skills
Arches 4Area of an ellipse 16🔒Areas on a parabola 18🔒Chords of an ellipse 18🔒Eccentricity 18🔒Ellipse: foci and directrix 17🔒Extremes on conics 13🔒Hyperbola: asymptotes 14🔒Hyperbola: foci 11🔒Intersections of conics 7🔒Largest triangle in an ellipse 16🔒Midpoints of chords 12🔒Parabola: focus and directrix 17🔒Products of distances along chords 14🔒Tangents to an ellipse 10🔒
Polar and parametric curves46 problems · 4 skills
Areas in polar coordinates 16Converting coordinates 14🔒Parametric and polar conics 6🔒Tangents to polar curves 10🔒
Reflections, rotations and translations47 problems · 4 skills
Reflecting curves 9🔒Reflections 18🔒Reflections in 3D 10🔒Rotations, translations and dilations 10🔒