Analytic geometry - practice problems - page 2 of 13
Analytic geometry, also known as coordinate geometry, is a branch of mathematics that deals with the study of geometric shapes using the techniques of calculus and algebra. It uses a coordinate system to represent geometric shapes and equations, allowing for the use of algebraic methods to solve geometric problems. It is also used to model physical phenomena, such as the motion of objects in space.Number of problems found: 248
- Midpoint of line segment
Find the midpoint of the line segment joining the points (10,1) and (-8,-1). - The point
The point which lies in the fourth quadrant is A.(2,1) B.(1,-3) C.( -5,-2) D. (-4,0) E. (0,0) - Using
Using the point-slope equation, find the equation containing (-7, 3) and slope m = -4 - Center
Calculate the coordinates of the circle center: x² -4x + y² +10y +25 = 0 - The angle of lines
Calculate the angle of two lines y=2x+29 and y=-3x+1 - 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. - Line equation:
Line equation: y-3=8/9(x-5) Solve for slope - 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) - Coordinates of square vertices
The ABCD square has the center S [−3, −2] and the vertex A [1, −3]. Find the coordinates of the other vertices of the square. - Linear independence
Determine if vectors u=(-4; -10) and v=(-2; -7) are linear dependents. - Direction 7999
A (5; -4) B (1; 3) C (-2; 0) D (6; 2) Calculate the direction vector a) a = AB b) b = BC c) c = CD - A function
A function follows the rule "y is 3 less than half of x". Express y as a function of x in the form of an equation. - Line slope
What is the slope of the line with points (-1,-3) and (-5, 2)? - Distance between 2 points
Find the distance between the points (7, -9), (-1, -9) - Parametric equations
Write the parametric equations of height hc in triangle ABC: A = [5; 6], B = [- 2; 4], C = [6; -1] - The tangent of the hyperbola
Write the equation of the tangent of the hyperbola 9x²−4y²=36 at the point T =[t1,4]. - A linear
A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line? - Equation of the circle
Find an equation of the circle whose diameter has endpoints (1,-4) and (3,2).
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