Fill in the blank/s: The set of all points in a plane that are equidistant from a fixed line and a fixed point is a/an _____________ The fixed line is called the ____________ and the fixed point is called the ___________.

Q: II P MAT 1033 TEST#1- Google Chrome A…

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

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Q: (a) Find the point at which the given lines intersect. r= (1,3, 0) + t(3, -3, 3) r = (4, 0, 3) +…

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Q: Determine whether the plane passes through each point. x + 2y - 4z - 1 = 0 %3D (a) (-5, 1, –1) O Yes…

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Q: Determine whether the plane passes through each point. x + 2y – 3z - 1 = 0 (a) (-4, 1, –1) O Yes O…

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Q: ExO Let A (2,-1); 8 (-,0) are e any two points in)plane Find AB, BA 2

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

A: Given: x2+y2=4z=y

Q: 1. Equation of the plane passing through the points A, B, and C. 2. Equation of the straight line…

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Q: Fill in the blanks so that the resulting statement is true.The axes of the rectangular coordinate…

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Q: (a) Find the point at which the given lines intersect. (1, 2, 0) + t(2, -2, 2) = (3, 0, 2) + s(-2,…

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Q: 26. b) Given four points A(-2, 0, -3), B (1, -2, 1), C (-2,-3,2), D ,0). Find the equation of the…

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Q: 24. Let A = (2,1) and B = (-1, –2) be two points on the plane. Write the equation of the line which…

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Q: 4. Which statement is never true for two planes? c) a) They intersect at a point b) The intersect at…

A: Which statment is never true for two planes

Q: A coordinate system represented a point in the plane by an ordered pair of numbers called…

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Q: Find parametric and symmetric equations of the line (i) through the points A(1, −2, 3) and B(2, 0,…

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Q: Determine if each statement is true or false, and explain your response An equation of the plane…

A: Answer and explanation is given below........

Q: An equation allows you to find the x- and y-coordinates of any point on the xy- plane. OA. True B.…

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Q: 33. Study the figures. Complete the definition of a line perpendicular to a plane: A line is…

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Q: Determine whether the solution space of the system Ax = 0 is a line through the origin, a plane…

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

A: Given  x2+y2+z2=9, z=0 Now transforming the equation we will get x2+y2=9

Q: 1. In Exercises a-d, use the diagram on the right. Name three points. a. b. Name two lines. с. Name…

A: solution...

Q: Consider the plane x-y-z-8= 0. Find the point in this plane closest to the point (1, 0, 1).

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Q: The third question: Let (1-, 1-, 1-) Q be a point in space and let us have the line L whose equation…

A: Let the equation of the plane passing through the point Q-1,-1,-1 be ax+1+by+1+cz+1=0…

Q: Show that planes 2x- y + z = 0 and x+2y-z = 1 intersect according to a straight r.

A: General Equation of a Plane: A plane can be represented by an equation of first degree in such as…

Q: Linear Algebra  Determine the line r that passes through points A(4, 0, 1) and B(5, 1, 3). Then…

A: we have to determine the equation of a line r passing through points A(4,0,1) and B(5,1,3). then we…

Q: Let A(2, 1, 1), B(1, 2, 1), and C(1, 1, 2) be three given points. Find (i) parametric and symmetric…

A: Let A2,1,1, B1,2,1, and C1,1,2 be three given points. Find (i) parametric and symmetric equations of…

Q: At which point does the line described in question 3 intersect the plane described above? (Hint: You…

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Q: Let A(2,1,3), B(3,3,5), and P(1,3,6) be points. a. Find the equation of the plane which passes…

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Q: sketch the plane in three-dimensional space represented by the equation z =-4

A: Introduction: The most standard form in which a plane is expressed is ax+by+cz+d=0 Here, a,b,c is…

Q: 7:54 & D 013 A 令ll wave Classroom https://classroom.google.com/u/2/c. Open with Google Docs PDF…

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

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (a) Find a parametric equation and symmetric equation of the line that pases through the point (2,…

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Q: Linear Algebra Let α be the plane that passes through the origin and is perpendicular to the line…

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Q: (a) Find the point at which the given lines intersect. r = (1, 2, 0) + (2, -2, 2) r = (3, 0, 2) +…

A: The vector form of the equation of a line is r=ro→+tv→. The equation of the plane containing the…

Q: 10+ 10-8-6 -2 10 4. -4 9- 10 What is the distance between point A and point B on the coordinate…

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Q: 22. a) Determine the equation of the line of intersection of planes 1 and 2. Express your answer in…

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Q: Determine whether the plane passes through each point. x + 4y - 3z − 1 = 0 (a) (-6, 1, -1) O Yes O…

A: To check if the plane passes through each point we have to put the points and check if equation…

Q: O True False 1. The point (0, 0) is called the origin, and is the point where the x-axis and y-axis…

A: since you have asked multiple questions in single request so we will be answering only first…

Q: Department of water Resources Eng. A.L. Fatima Kumait Al-Zubaidy Q1): Find the point (x, y, z) that…

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Q: caining points (0, 1, 2), (3, 3, 4), and (4, – the point (-1,5, 0) and the plane cont t (a).

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Q: estion 7 Find an equation of the plane containing the points A=(1,0,2), B = (-1,1,2), C= (5,0,3).…

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Q: ind an equation of the plane with the given characteristics. The plane passes through the points (4,…

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Q: (True/False) Two lines in two-dimensional space either intersect or are parallel.

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Determine whether the plane passes through each point. x + 2y – 4z – 1 = 0 (a) (-5, 1, -1) O Yes O…

A: The given plane is x+2y-4z-1=0   ........................... (1)

Q: describe the given set with a single equation orwith a pair of equations. The plane perpendicular to…

A: Given: The plane perpendicular to the z-axis at (0, 0, -2)

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: Graph the plane: II = {(a + B,a + Y, B + y)[ a, ß, y ER, a + ß + y = 1}

A: To graph the below plane. α+β,α+γ,β+γ|α,β,γ∈ℝ,α+β+γ=1

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: 1) Let A = (0, 0, 0) and B = (2, 0, 0). a) Find a point C in the xy-plane that is a distance 2 from…

A: a) C is a point on the xy-plane with a distance of 2 from both A and B.Consider C = (x, y,…

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.