Analytic geometry - math problems

Also known as coordinate geometry or Cartesian geometry.

Number of problems found: 128

  • Center
    circle Calculate the coordinates of the circle center: ?
  • Vector
    vectors Determine coordinates of the vector u=CD if C[19;-7], D[-16,-5].
  • Find the 12
    circle_eq Find the equation of the circle with center (3,7) and circumference 8π units.
  • Ladder
    rebrik_4 4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall?
  • Angle between lines
    angle_two_lines Calculate the angle between these two lines: ? ?
  • Perpendicular
    perpendicular Determine the slope of the line perpendicular to the line p: y = -x +4.
  • Distance
    origin_math Wha is the distance between the origin and the point (18; 22)?
  • Coordinates of vector
    vectors_2 Determine the coordinate of a vector u=CD if C(19;-7) and D(-16;-5)
  • Points collinear
    collinear Show that the point A(-1,3), B(3,2), C(11,0) are col-linear.
  • Segment
    segment_AB Calculate the segment AB's length if the coordinates of the end vertices are A[10, -4] and B[5, 5].
  • Distance
    distance Calculate distance between two points X[18; 19] and W[20; 3].
  • Distance problem
    linear_eq_3 A=(x, x) B=(1,4) Distance AB=√5, find x;
  • Calculate 8
    axail_symmetry Calculate the coordinates of point B axially symmetrical with point A[-1, -3] along a straight line p : x + y - 2 = 0.
  • Linear independence
    colinear_vectors Determine if vectors u=(-4; -5) and v=(20; 25) are linear Linear dependent.
  • Line
    img2 Line p passing through A[-10, 6] and has direction vector v=(3, 2). Is point B[7, 30] on the line p?
  • Circle - AG
    circle2 Find the coordinates of circle and its diameter if its equation is: ?
  • Angle of the body diagonals
    body_diagonals_angle Using vector dot product calculate the angle of the body diagonals of the cube.
  • Center
    triangle_axis Calculate the coordinates of the center of gravity T [x, y] of triangle ABC; A[11,4] B[13,-7] C[-17,-18].
  • Distance problem 2
    geodetka_1 A=(x,2x) B=(2x,1) Distance AB=√2, find value of x
  • Cone
    cones_1 If the segment of the line y = -3x +4 that lies in quadrant I is rotated about the y-axis, a cone is formed. What is the volume of the cone?

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For Basic calculations in analytic geometry is a helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc. See also more information on Wikipedia.