give a geometric description of the set of points inspace whose coordinates satisfy the given pairs of equations. x2 + y2 + z2 = 1, x = 0

Q: A plane flies 2400 miles in 6 hours, with a tailwind all the way. The return trip on the same route,…

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

A: We have to find the geometric description of the set of points in space whose coordinates satisfy…

Q: Point T (* 0) -2+

A: Graph of the function is given, we have to find the coordinate of the point T.

Q: Find all points with coordinates of the form (a, a) that are a distance 3 from P(-2, 1).

A: Given: P(-2,1) and distance is 3. To find the other coordinate point.

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

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Q: Let a point a = (2, 4, 5). b) Find the distance from this point to the z-axis.

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Q: Find a parametric representation of the solution set of the linear equation.3x1 + 2x2 − 4x3 = 0

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Q: Calculate ?a so that the line y=3x+a travels accross the point (3,10). Give the answer in its exact…

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Q: Find the distance between the given pair of points. (a) (1, 3), (5, 6) (b) (-2, 0), (3, 12) (c) (0,…

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Q: What points in the xy-plane satisfy the equation and inequality? Draw a figure for exercise. (x2 -…

A: Given: (x2-y2-1)(x2+y2-25)(x2+4y2-4)=0⇒(x2-y2-1)=0, (x2+y2-25)=0, and (x2+4y2-4)=0Clearly,…

Q: Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.…

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Q: Test for symmetry with respect to each axis and to the origin y = x /(x2 + 1)

A: To test symmetry of a function about x axis, replace y with -y in the given function y axis,…

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

A: Consider the given equation is, y=x2z=0 From the given equations, the geometric description is that…

Q: Find all intersections of the curve y = 10 - x and y = x + 8.

A: To find intersection point of the curves.

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

A: The given equations are x2+y-12+z2=4    and   y=0. Substitute y=0 in x2+y-12+z2=4 and simplify as…

Q: In Cartesian space, the point form of a line is e: (x, y, 2) = (2 + r, -3 + 2r, 5 5r). a) Find the…

A: In cartesian space, the point form of a line is  l : (x, y, z) = (2+r, -3+2r, 5-5r).   a) Find the…

Q: A 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 a parametric representation of the solution set of the linear equation.12x1 + 24x2 − 36x3 = 12

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Q: Find the distance between the points p1and P2.

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Q: Describe with a sketch the sets of points (x, y, z) satisfying the following equations. (x + 1)(y -…

A: The given equation is x+1y-3=0. This implies that, x+1y-3=0x+1=0   or  y-3=0x=-1   or   y=3 Thus,…

Q: Find the distance between the points p1and P2.

A: Given: P1=-1, 1, P2=2, 2

Q: Find the real number ( B) such that the line of symmetric equations ( x – 3 == ) is parallel to the…

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Q: Find the relationship between x and y such that point (x,y) is equidistant from the points (7,1) and…

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Q: 4. Find the two points of intersection of the circles: x² + y 2 + 5x + y – 26 = 0 ; x² + y ² + 2 x –…

A: Given, The equations of the circles are, x2+y2+5x+y-26=0   ....... (1)  and x2+y2+2x-y-15=0…

Q: Determine whether x2 + 4y2 = 16 is symmetric respect to the x-axis, the y-axis, and/or the origin.

A: x2+4y2=16 Replace x by -x, we get ⇒-x2+4y2=16⇒x2+4y2=16 It is same as original equation. Therefore…

Q: 1. In a rectangular coordinate system, the point where the x- and y-axes meet is called the

A: Consider the provided information, In a rectangle coordinate system, the point where the x and y…

Q: C(-4, 7) and D(0, -3)

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Q: Find the equation of the set of points which are equidistant from (3,10) and the x-axis `y-x -5)²+3…

A: To find the correct option

Q: Use the Midpoint Formula repeatedly to find the three points that divide the line segment joining…

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Q: (b) Express the following points in Cartesian coordinates: (i) P(1, 60°, 2); and (ii) Q(2, 90°, -4).

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Q: Which point is one fourth of the way between point A and point Bon the line segment AB shown on the…

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Q: (b) Express the following points in Cartesian coordinates= (i) P(1, 60°, 2); and (ii) Q(2, 90°, -4).

A: Given: (i)P1,60°,2(ii)Q2,90°,-4

Q: Find the point on the x-axis that is equidistant from the points (1, 2) and (2, 3). The coordinates…

A: soln:point on x-axis which is equidistant from the points 1,2 and 2,3

Q: Find the relationship between x and y such that the point (x,y) is equidistance from the points…

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Q: Find the value of y such that the points are collinear. (1, -2), (-5, y), (-2, –5) y = %D

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Q: Find the distance between each of the pairs of points.(a) (-1, 5) and (1, -2)(b) (5, 0) and (2, 7)

A: Find the distance between each of the pairs of points.(a) (-1, 5) and (1, -2)(b) (5, 0) and (2, 7)

Q: 1. Which of the following points in the standard (x, y) coordinate plane is farthest from the…

A: Find the distance of each given point from origin Using distance formula.

Q: Let A(0,-2), B(0,4) (1) Find the set of all points P(x, y) such that m(PA)=2 m(PB) (2) Convert the…

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Q: Find x such that the points A(x, 5), B(2, 3), and C(4, - 5) are collinear.

A: Given. A(x,5), B(2,3) and C(4,-5) are collinear.

Q: Imagine a parabolic PDE represented by this diagram. Which of these lines represent initial…

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Q: In the Cartesian plane below, the map of two perpendicular cross country skiing trails is shown that…

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Q: (a) Find the involutes of straight line.

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Q: Find a perpendicular line that passes through the given point (6,4); y 3x- 2 %3D O y = 1/3 x-6 O y =…

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Q: Find the x- and y-coordinates of the point C.

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Q: Give the Cartesian equation of the locus of points P(x, y) given that P is 5 units from the point…

A: Any point on the Cartesian plane is represented as x, y. The locus is a set of points on the…

Q: Find an equation for the set of all points equidistant from the planes y = 3 and y =-1.

A: Find an equation for the set of all points equidistant from the planes y = 3 and y = -1.

Q: Let A be the point with coordinates (0, -3, 3) and let B be the point with coordinates (2, 0, 0).…

A: Given: A=0,-3,3B=2,0,0

Q: Let's consider points X and Y on the coordinate plane below. y Y (x2, Y2) x (x1,Y1) Write a formula…

A: Consider the given graph. We have to find the formula that can be used to find midpoint of any 2…

Q: Show that the following sets of points are collinear and find the equation of line…

A: Three or more points are collinear, if slope of any two pairs of points is same. With three points…

Q: Are the points A(2, – 3), B(5, 1), and C(-4, - 11) collinear?

A: Given:A2,-3 , B5,1 and C-4,-11 collinearAB=AC+BCd=x2-x12 + y2-y12

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.