Let (X, t) be a topological space and A, B EX, then 1- (X- A)° CX-Ā 2- (X-A)° 2X-Ā 3- (X- A)° = X-A 4- (X- A)° = (X A)

Q: Do question 2 only

A: Given :-     A = { 1,2,3,4,5} and  relation R = { (4,1),(2,1),(3,2) } In the relation R, the domain…

Q: 2. Consider the relation on A = {(1,0), (-1,0), (1,3), (2, 4), (-4,-8), (3,9), (3,6)}, defined by:…

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Q: 2(a) A relation R is defined on the set A={1,2,3,4} from A to A, where R' = {(1,2); (1,3); (1,4);…

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Q: 3. f(x, y) = x² x+y + y²-1 -; (1, 1), (-1, 1).

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Q: 12 - y = | 4-x | Which of the following is the value set of the function? A) (-∞, 0) B) (-∞, ∞)…

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Q: Do question 1 only

A: For any query with the solution, please ask in the comment box.

Q: Describe geometrically (line, plane, or all of R 3) all linear combinations of (a) [ 1/2/3 ] and […

A: We know that a set of vectors u1, u2, ……, un is said to be linearly independent if the equation…

Q: Explain the process you would follow to construct the bijective function you do correspond to the…

A: We show the existence of this bijection by the composition of two map which are itself bijective.…

Q: Which of the following mappings A: R^2->R is a linear functional? (a) (a,b) -> lal + lbl. (b)…

A: Step 1:A linear functional is a linear map from a vector space to its underlying field. Formally,…

Q: Eliminate the arbitrary constant from the relation cy²=; (x + y − 1)2 = c/x. 3) 2 = x² + y.

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Q: Let v1 =[1,4,-2] , v2 =[-2,-3,7] , b =[4,1,h] FIND all value(s) h such that b is in span{v1 , v2 }

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Q: The line through the points (-3, 8, --4) and (1,0, 8) intersecta the B. (0,2,5) C. (5,2,0) D. (0,5,…

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Q: The inverse of a relation r is r {(0, 0), (0, 1), (0, 2) }. Which of the following may be the…

A: Topic = Relation   The Inverse of a Relation is a set of ordered pairs that is the exact inverse of…

Q: 5. Compute the distance between these pairs of points: (a) (-2, 5) and (4, 13) (b) (3,-4) and (8, 8)

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Q: Eliminate the arbitrary constants c₁ and c₂ from the relation y = C₁ + c₂e³x Eliminate the arbitrary…

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Q: What is the domain of the relation x(x-3) ? {(X,y): y = (x+4)(x-7)). ) {x: x = R, x -4, x > 7} ) {x:…

A: Domain of function f(x) is the set of value of x for which f(x) is defined.

Q: The fixed point/s of the function g(x) = In(e* -3e* +3) + x on [0,1] is / are: %3D Select one: a. 0,…

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Q: What is the geometric object in 3-space represented by the equation (x + y +z)^2 = 0 Choose: 1.…

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Q: A relation consists of all the points in the x-y plane that are either on the line y=1 or the line…

A: Here, the objective is to determine if equation represent a function.

Q: B] (x-5)_ (y+ 3) =1 14. Center: (5, -3) Focus: (0, -3) Vertex: (8, -3) IA] (x-5)° , (v+3)² 16 (x-5)°…

A: Given: Center :(5,-3)Focus:(0,-3)Vertex:(8,-3)

Q: point P (x, y) moves such that it is always twice as far from (-5, -6) as it is from (2, -3). What…

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Q: Find the midpoint of each line segment whose end points are (-4,-4) and (10,2). (-3,-1) (3,-1)…

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Q: {(5, 4), (7, 1), (9,-2), (11, -5)} O Linear O Not linear Function 1 O Linear O Not linear Function 3…

A: The given data is:  Function 1 5,4, 7,1, 9,-2, 11,-5 At x=5, y=4 At x=7, y=1 At x=9, y=-2 At x=11,…

Q: Let T be a triangle with vertices (1,-2), (3,0), (-3,2), and f(x,y)=x^2(y-x+3) (a) Find the linear…

A: It is given that T is a triangle with vertices 1,-2, 3,0 and -3,2 and the function fx,y=x2y-x+3. (a)…

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.