The set of all points in a plane the sum of whose distances from two fixed points is constant is a/an______.The two fixed points are called the ______.The midpoint of the line segment connectingthe two fixed points is the_______.

Q: Siceteh the curve in the compeex plane 1. 12-31= 12+3i/

A: Use the definition of modulus of a complex number and you are done.

Q: 19. A perpendicular bisector of a segment is a line, segment, or ray that is perpendicular to a…

A: See the Perpendicular Bisector theorem and its converse

Q: of the tss plane passes threngh the point Cl,) and contains the line {x=t, Find the 9 =-2, 2= 2

A: According to the given information, it is required to find the equation of plane.

Q: 1. Let A, B, C, and D be four distinct points in the plane. Suppose that no three of them lie on a…

A:

Q: give a geometric description of the set of points in space whose coordinates satisfy the given pair…

A: Consider the given equation as x=-1, z=0

Q: Prove the following theorems: 1. In a plane, there is exactly one line perpendicular to a given line…

A: The objective of the given problem is: "Prove that in a plane, there is exactly one line…

Q: 8. When plotted in a standard coordinate plane, the coordinates (1, -1), (-3, -3), (5, -3), and…

A: The given points are 1,-1, -3,-3, 5,-3, and 1,-5.

Q: # 7. If we invent the line at infinity in the projective plane, then it is possible to construct one…

A: Given that if we invent the line at infinity in the projective plane,then it is possible to…

Q: Let A = (1,1) and B = (5, –5) be the points in the plane. Determine the locus of the point P (all…

A: Note some result about circle : Suppose we have the equation ax2+by2+2gx+2fy+2hxy+c=0. If a=b and…

Q: 6.) The locus of points at a given distance from a given point in space is a. A sphere with center…

A: A locus of points is the set of those points who satisfy a given condition.The set of points which…

Q: Which of the following is/are axiom/s in projective geometry? I. All the points of the plane belong…

A: We have to determine which of the following is axiom of projective geometry.

Q: Find an equation for the set of points P(x, y) in a plane the sum of whose distances from two fixed…

A:

Q: In space, determine the locus of points equidistant from the endpoints of . Select one: a. the…

A: A perpendicular bisector to  a line AB divides the line into two halves and is perpendicular to the…

Q: A Draw and describe the locus of points in the plane that are equidistant from the sides of ZABC. C

A: Definition: The locus of points in a plane and equidistant from the sides of an angle is the angle…

Q: Give a geometric description of the set of points (x, y, z) satisfying the pair of equations z = 0…

A: given: the set of points (x,y,z) satisfying the pair of equations z=0 and x2+y2=1. as we know that…

Q: c. Directions: Give at least five statements or description for each figure concerning points, lines…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Four points A, B, C, and D are on a line with A-B-C-D and AB ~=CD. A point P not on is connected to…

A:

Q: these Springfiel cities, so the family decides to drive to St. Louis on the first day of their…

A:

Q: In a certain​ city, the road system is set up like a Cartesian plane​ (x-y grid).   Point B is12…

A: Point A is  at origin (0,0) Point B is12 blocks east and 18 blocks north from point A. Point C is 18…

Q: 18. Identify the Perpendicular Bisector Theorem. O If a line segment intersects another line segment…

A: We have to identify the perpendicular bisector theorem

Q: The set of all points in a plane that are equidistant from a fixed line and a fixed point is a/an…

A: Parabola is defined as a curve made up of all points that are equidistant from a fixed line and a…

Q: Parts (a) through (d) justify Theorem 1-2: Through a line and a point notin the line there is…

A: Postulates involving Points, Lines and Planes. Postulate 1 - A line contains at least two points ; a…

Q: ) a pair of supplementary angles B) three concurrent line segments that do not lie in a single…

A:

Q: 8 12 Let V₁ 2 and V₂ = 3 then the geometric description of Span {V₁, V₂} is -6 -9 a) Plane b) A set…

A: Span: The span of the set of vectors v1, v2, v3, ……, vn is the set of all possible linear…

Q: Which of the following statements best describes the diagram below? A. The intersection of two…

A: Find your answer below

Q: . Find the relation between line L and plane P: Question 9. 2x +2y-32-1=0. If they intersect at one…

A: The given plane is 2x+2y-3z-1=0. Find the relation between line L and plane P. 1. The given line is…

Q: I. Create a table showing the differences of Euclidean, Elliptic, and Hyperbolic geometry according…

A: The Table below shows the differences of Euclidean, Elliptic and Hyperbolic Geometry

Q: (d) The set of points in space equidistant from the origin and the point (0,2,0). (e) The set of…

A: Question d and e has been solved as per the request of the student.

Q: 8 12 Let V₁ = 2 and v₂ 3 then the geometric description of Span {v₁, V₂} is -6 -9 a) Plane b) A set…

A: v1=2v2/3 Since v1 is a multiple of v2. So Span{v1,v2}= line through origin that contains v1 and v2…

Q: 14. How many points P(x,y) on a Cartesian plane satisfy the following conditions? A. One. B. Two. C.…

A: We have to find no. of points that will satisfie the given conditions.

Q: Which of the following is/are axiom/s in projective geometry? I. All the points of the plane belong…

A: We have to determine which of the following is axiom of projective geometry.

Q: A) Find the locus of points in the plane that are equidistant from the sides of angle ABC: a.the…

A: Consider the angle ABC , and the sides of the angle ABC are BA and BC .

Q: Give a geometric description of the set of points whose coordinates satisfy the given conditions.…

A:

Q: - S/ The Perpendicular Bisector Theorem states that if a point is on the perpendicular bisector of a…

A: It is known that, two lines are perpendicular if its meets at right angle. That is, the angle…

Q: The vertices of a AABC are A (2, 0, 2), B (- 1, 1, 1) and C(1,-2,4). The points D and E divide the…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 3. A player P stands 10 metres directly in front of a soccer goal O ABC, as shown below. The corners…

A: a)Co-ordinates of GG0+7.52,0+02,0+02=G154,0,0Co-ordinates of P∵P lies on the  xy planeso…

Q: IV. Use the proposition to sketch the axis of the glide reflection dead in the figure. e…

A: Given proposition: If line 'b' intersects lines 'a' & 'c' only at distinct points C & A…

Q: The distance d of a point P to the line through points 4 and B is the length of the component of P…

A: If a vector passes through the points Cx1, y1 and Dx2, y2, then its position vector is defined as…

Q: The locus of points at a given distance from a given line in a plane is a. A circle that is tangent…

A:

Q: 3. True or false: a. Collinearity implies coplanarity. b. Any three points are coplanar. c. Any…

A:

Q: Which of the following statement is FALSE? The intersection of two planes is either a point or a…

A: Statement 1 is false . The intersection of two planes is always a line .  Since Planes are infinite…

Q: 5.) The locus of points at a given distance from a given point in a plane is

A: It will be a circle with centre at the given point and radius equal to the given distance.

Q: . In a plane, what is the locus of points equidistant from the sides of a square?a. a square b. a…

A: To find: The locus of points equidistant from the sides of a square in a plane.

Q: (a) Prove the Power of a point theorem: Two intersecting lines cut a circle at points A, B and C,D…

A: Power of a Point theorem states that for any two lines inside a circle (C) intersecting the boundary…

Q: Q1 (a) Prove the Power of a point theorem: Two intersecting lines cut a circle at points A, B and…

A:

Q: 1. Let A, B, C, and D be four distinct points in the plane. Suppose that no three of them lie on a…

A:

Q: Find an equation of the set of all points equidistant from the points A(-2, 6, 3) and B(5, 3, -1).…

A: We have to find the equation

Q: 29. In each case, determine whether or not the point lies on the line. If it does not, give an…

A: Since we have given a point and a line -

Q: (iii) State the dimension of W, and whether it is a line or a plane in R3

A:

Q: Describe geometrically all points P(x, y, z) that satisfy the given condition. X = 1

A: Given the points P(x,y,z) that satisfy the condition x=1.

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.