# Analytic geometry - math problems

Also known as coordinate geometry or Cartesian geometry.#### Number of problems found: 130

- Vector

Determine coordinates of the vector u=CD if C[19;-7], D[-16,-5]. - Find the 12

Find the equation of the circle with center (3,7) and circumference 8π units. - Ladder

4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall? - Linear independence

Determine if vectors u=(-4; -10) and v=(-2; -7) are linear dependent. - Perpendicular

Determine the slope of the line perpendicular to the line p: y = -x +4. - Distance

What is the distance between the origin and the point (18; 22)? - Coordinates of vector

Determine the coordinate of a vector u=CD if C(19;-7) and D(-16;-5) - Points collinear

Show that the point A(-1,3), B(3,2), C(11,0) are col-linear. - Segment

Calculate the segment AB's length if the coordinates of the end vertices are A[10, -4] and B[5, 5]. - Distance

Calculate distance between two points X[18; 19] and W[20; 3]. - Distance problem

A=(x, x) B=(1,4) Distance AB=√5, find x; - Calculate 8

Calculate the coordinates of point B axially symmetrical with point A[-1, -3] along a straight line p : x + y - 2 = 0. - Center

Calculate the coordinates of the circle center: x^{2}-4x + y^{2}+10y +25 = 0 - Line

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

Find the coordinates of circle and its diameter if its equation is: ? - Angle of the body diagonals

Using vector dot product calculate the angle of the body diagonals of the cube. - Center

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

A=(x,2x) B=(2x,1) Distance AB=√2, find value of x - Find parameters

Find parameters of the circle in the plane - coordinates of center and radius: ? - Cone

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