33. (0, 0, 12); х%3D 41, у %3D —2г, г %3D 2t 34. (0, 0, 0); х %3D5 + 3t, у %3D 5 + 4t, z%3D—3 — 51 35. (2, 1, 3); х %3D 2 + 21, у %3 1 + 61, Z %3D3 36. (2, 1, — 1); х%3D 21, у %3D 1+ 21, z 3D 21 37. (3, —1, 4); х%3D4 — t, у 3 3 + 21, г %3D —5 + 31 38. (-1, 4, 3); х%3D 10 + 41, у %3D — 3, г%3D4t

Q: 5, 7)

A: distance = x2-x12+y2-y12

Q: Is 3 Point Geometry a complete geometry? Explain.

A: Yes, the three point geomtry is a complete geometry.Mathematically proving the completeness of a 3…

Q: AB has endpoints A(- 3, 2) and B(3, – 2). Find the coordinates of the midpoint of AB. Find AB to the…

A: Given; A(-3,2) & B(3,-2)

Q: Identify the vertex, focus, directerix and length of the latus rectum. y= 1/14x2

A:

Q: 20) Find the distance between these (2) sets of points; (2, -5) & (-3, -10).

A:

Q: "Exercises" 1. Plot the given points in a rectangular coordinate system. *(A) (5,0), (3,-2). (-4,2).…

A:

Q: Find the distance from the point (-7, 6, 8) to the x axis.

A:

Q: When the coordinates of two points are (x , y ) and (x, -y) what line symmetry do the points share?…

A: We know for two points,  i) (x, y) and (x, - y) has x axis as line of symmetry.  ii) (x, y) and (-…

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.