# Analytic geometry - math problems

Also known as coordinate geometry or Cartesian geometry.#### Number of problems found: 128

- Center

Calculate the coordinates of the circle center: ? - 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? - Angle between lines

Calculate the angle between these two lines: ? ? - Perpendicular

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

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. - 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. - Linear independence

Determine if vectors u=(-4; -5) and v=(20; 25) are linear Linear dependent. - 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 - 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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