Analytic geometry - high school - practice problems
Number of problems found: 200
- Equation of the circle
Find the equation of the circle with center (3,7) and circumference of 8π units. - Vector
Determine coordinates of the vector u=CD if C[12;-8], D[6,20]. - A circle
A circle relation is given to be x² + y² =16. What is the radius of the circle? - Place vector
Place the vector AB if A (3, -1), B (5,3) in point C (1,3) so that AB = CO. - Coordinates - rectangle
Find the perimeter of the rectangle with vertices A(1,4), B (1,0 ), C (4,0), D (4,4 ) - Distance problem 2
A=(x,2x) B=(2x,1) Distance AB=√2, find the value of x - Points collinear
Show that the point A(-1,3), B(3,2), C(11,0) are col-linear. - Perpendicular
Find the slope of the line perpendicular to the line p: y = 8x +6. - FX parabola
Determine the equation of the parabola going through the following co-ordinates (1;2), (-1;-2), and (2;7) - Find quadrant
Point Y is located at (4, -2) on a graph. Point Z is located five units to the left of Point Y. In which quadrant is Point Z located? - Midpoint between conjugate
Find the midpoint between two roots: 2+3.464i and 2 - 3.464i - Vector perpendicular
Find the vector a = (2, y, z) so that a⊥ b and a ⊥ c where b = (-1, 4, 2) and c = (3, -3, -1) - Coordinates of vector
Determine the coordinate of a vector u=CD if C(19;-7) and D(-16;-5) - Parametric 82072
Convert the parametric expression of the straight line to a general equation. x=3-5t y=-4+10t - Midpoint of line segment
Find the midpoint of the line segment joining the points (10,1) and (-8,-1). - Center
Calculate the coordinates of the circle center: x² -4x + y² +10y +25 = 0 - Equation 80525
Write the equation of the parabola that passes through the points: A[1,1] B[3,-1] C[1,2] - Equation 81932
Write the general equation of a circle with point S(2;5) and point B(5;6) lying on this circle. - A triangle 10
A triangle has vertices at (4, 5), (-3, 2), and (-2, 5). What are the coordinates of the vertices of the image after the translation (x, y) arrow-right (x + 3, y - 5)? - Vector v4
Find the vector v4 perpendicular to the vectors v1 = (1, 1, 1, -1), v2 = (1, 1, -1, 1) and v3 = (0, 0, 1, 1)
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