Equation + analytic geometry - practice problems - page 5 of 6
Number of problems found: 110
- Hyperbola
Find the equation of hyperbola that passes through the point M [30; 24] and has focal points at F1 [0; 4 sqrt 6], F2 [0; -4 sqrt 6]. - Ellipse
Ellipse is expressed by equation 9x² + 25y² - 54x - 100y - 44 = 0. Find the length of primary and secondary axes, eccentricity, and coordinates of the ellipse's center. - Parametrically 6400
Find the angle of the line, which is determined parametrically x = 5 + t y = 1 + 3t z = -2t t belongs to R and the plane, which is determined by the general equation 2x-y + 3z-4 = 0. - Three points 2
The three points are A(3, 8), B(6, 2), and C(10, 2). Point D is such that the line DA is perpendicular to AB, and DC is parallel to AB. Calculate the coordinates of D.
- Curve and line
The equation of a curve C is y=2x² -8x+9, and the equation of a line L is x+ y=3 (1) Find the x coordinates of the points of intersection of L and C. (2) Show that one of these points is also the stationary point of C? - Sphere equation
Obtain the equation of a sphere. Its center is on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1). - Equation of circle 2
Find the equation of a circle that touches the axis of y at a distance of 4 from the origin and cuts off an intercept of length 6 on the axis x. - Right angled triangle 2
LMN is a right-angled triangle with vertices at L(1,3), M(3,5), and N(6,n). Given angle LMN is 90° find n - Linear function
What is the equation of linear function passing through points: a) A (0,3), B (3,0) b) C (-2,-6), D (3,4)
- Ladder
A 4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall? - Circle - AG
Find the coordinates of the circle and its diameter if its equation is: x² + y² - 6x-4y=36 - 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. - Parametric equations
Write the parametric equations of height hc in triangle ABC: A = [5; 6], B = [- 2; 4], C = [6; -1] - Inscribed circle
Write the equation of an incircle of the triangle KLM if K [2,1], L [6,4], M [6,1].
- Equation 2604
The given triangle is ABC: A [-3; -1] B [5; 3] C [1; 5] Write the line equation that passes through the vertex C parallel to the side AB. - Points on circle
The Cartesian coordinate system with the origin O is a sketched circle k /center O; radius r=2 cm/. Write all the points that lie on a circle k and whose coordinates are integers. Write all the points on the circle I with center O and radius r=5 cm, whose - 3d vector component
The vector u = (3.9, u3), and the length of the vector u is 12. What is, is u3? - Line
Write an equation of a line parallel to To 9x + 3y = 8 That Passes Through The Point (-1, -4). Write in the form ax+by=c. - Angle
A straight line p given by the equation y = (-8)/(6) x +78. Calculate the size of the angle in degrees between line p and y-axis.
Straight-line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line in which both coordinates are positive integers.Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
