Analytic geometry + Pythagorean theorem - practice problems
Number of problems found: 101
- Distance problem 2
A=(x,2x) B=(2x,1) Distance AB=√2, find the value of x - Segment
Calculate the segment AB's length if the coordinates of the end vertices are A[10, -4] and B[5, 5]. - Center
Calculate the coordinates of the circle center: x² -4x + y² +10y +25 = 0 - Equation 81932
Write the general equation of a circle with point S(2;5) and point B(5;6) lying on this circle. - Distance between 2 points
Find the distance between the points (7, -9), (-1, -9) - Equation of the circle
Find an equation of the circle whose diameter has endpoints (1,-4) and (3,2). - Ladder
A 4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall? - Calculate 8
Calculate the coordinates of point B axially symmetrical with point A[-1, -3] along a straight line p : x + y - 2 = 0. - Square side
Calculate the length of the side square ABCD with vertex A[0, 0] if diagonal BD lies on line p: -4x -5 =0. - Distance problem
A=(x, x) B=(1,4) Distance AB=√5, find x; - Vertices of RT
Show that the points P1 (5,0), P2 (2,1) & P3 (4,7) are the vertices of a right triangle. - Equation of circle
Find an equation of the circle with indicated properties: a. center at (-3,5), diameter 20. b. center at origin and diameter 16. - The coordinates 2
The coordinates of the vertices of the triangle shown are A(1,7), B(5,2), and C(5,7). What is the length of segment AB in units? - Equal distance
Find the equation for all the points (x, y) that are equal in distance from points A(5,-2) and B(-2,10). - Calculate 7
Calculate the height of the trapezoid ABCD, where the coordinates of vertices are: A[2, 1], B[8, 5], C[5, 5] and D[2, 3] - Angle of the body diagonals
Using the vector dot product calculate the angle of the body diagonals of the cube. - Coordinates of square vertices
I have coordinates of square vertices A / -3; 1/and B/1; 4 /. Find coordinates of vertices C and D, C and D. Thanks, Peter. - Midpoint of segment
Find the distance and midpoint between A(1,2) and B(5,5). - The coordinates 3
The coordinates of two vertices of an equilateral triangle are (1,1) and (5,1). What are the coordinates of the third vertex? - Line segment
Find the length of the line joining points A(-4,8) and B(-1,4).
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