Analytic geometry - math problemsAlso known as coordinate geometry or Cartesian geometry.
Number of problems found: 128
Calculate the coordinates of the circle center: ?
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.
4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall?
- Angle between lines
Calculate the angle between these two lines: ? ?
Determine the slope of the line perpendicular to the line p: y = -x +4.
Wha 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.
Calculate the segment AB's length if the coordinates of the end vertices are A[10, -4] and B[5, 5].
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.
- Linear independence
Determine if vectors u=(-4; -5) and v=(20; 25) are linear Linear dependent.
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.
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
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?
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.