A circle is centered at the origin (0,0) and has a radius of 4 units. Which points on the circle have an x-coordinate of 1? (Your answer should be a list of points, such as "(1,1), (2,4)".)  Which points on the circle have a y     -coordinate of 3? (Your answer should be a list of points, such as "(1,1), (2,4)".) 3. Write an equation for the graph of this circle.

Q: Find the equation of the circle Busan bent X=y^2-y at point (0,1)

A: Given problem is : Find the equation of the circle Busan bent X=y^2-y at point (0,1) .

Q: find aplane through Po (2,!,-1) and perpendicular to the line of Intersectionof the planes 2xty-Z=3)

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Q: In the xy-plane, (-3, 1) and (4, 3) are the endpoints of a diameter of a circle. What are the…

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Q: A circle passes through the point (6, 2). If segments of the straight lines x + y = 6 and x + 2y = 4…

A: We can find the radius as below.

Q: The co-ordinates of one end-point of a diameter of a circle are (3,5) If the co-ordinates of the…

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Q: The distance between the points A = (-3, –2) and B = (3,3) is,

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Q: Two cars are traveling on two different roads that are perpendicular to each other. On a coordinate…

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Q: The coordinates of point P are (2,3,7). What is the exact distance between point P and the z-axis?

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Q: The end points of line segment 4, which lies in the xy-plane, are (-2, 5) and (6,-3). Which of the…

A: i have used the formula of midpoint of the two points and the slope point form of the straight line…

Q: Two planes with equations x - y + 2z=4 and x + 2y - z = -5 intersect along a line L. Determine the…

A: Find the intersecting line L. For any random point on the line L, we can find the general distance.…

Q: Show that the locus of the point whose distance from y-axis is thrice it's distance from (1,2,-1) is…

A: The equation of the ellipse is 8x2+9y2+8z2+18x-36y+18z+54=0 The locus of the point whose distance…

Q: The midpoint of AB is M(-4,0). If the coordinates of A are (-6, 4), what are the coordinates of B?

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Q: Find the exact value of the distance between the line of intersection of the planes 2x-y+2z 6,…

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Q: 9. Find a point on the y-axis which is equidistant from the point A (6,5) and B (-4,3).

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Q: What is the equation of a circle with its center at (0,–2) and passing through the point (3, –5)?

A: Given,          The equation of a circle with its center at 0,-2 and passing through the…

Q: Suppose that receiving stations X, Y. and Z are located on a coordinate plane at the points (5,10).…

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Q: Find the distance between the points P(, 6,7) and Q(, 1,, 5)

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Q: A point is plotted on a coordinate grid at (−3,4) How far is the point from point (0,0)?

A: We know, By distance formula ,the distance d between two points whose coordinates are, (x1,y1) and…

Q: Find 4 points on the unit circle which have either a x- or y- coordinate equal to 1/3 Then find all…

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Q: Find the equation to the locus of a point such that its distance from the point (3,0) is three times…

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Q: The distance between the points (1,−2, 0) and (4, 0, 5) is _____ .

A: Given Two points; (1,−2, 0) and (4, 0, 5)

Q: A diameter of a circle extends from the point (8,12) to the point(-1,4). What is the length of the…

A: Diameter of the circle is extends from (8,12) to the point (-1,4), then the distance between those…

Q: Find the point where the common point of the circles x2+y2=25 and x2 +y2-12x-6y+35=0 intersects…

A: Here we have to find the point where the common point of the circles x2+y2=25 and x2 +y2-12x-6y+35=0…

Q: Find the point of intersection of the line with equation (1,8,3) + t(1,-1,3) and this plane. What is…

A: Now we will find the point of intersection.  And we  will find the y coordinate of this point

Q: Find the equation of the perpendicular bisector of th segment joining the points A(2, 3) and…

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Q: Find the distance between the points (2, −1, 3) and (1, 0, −2).

A: To find the distance between the points (2, −1, 3) and (1, 0, −2).

Q: the distance between point and our plane is (-3, 3, -2) and not (-3, -3, -2)?

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Q: Which of the points A(-4,0,–1), B(3,1,–5), and C(2,4, 6) is closest to the yz-plan Which point lies…

A: Given: A(-4,0,-1)  B(3,1,-5)  and C(2,4,6) To find: Which is closet to the yz plane Which is lies on…

Q: Write equations for the circles with radius 5 containing the points (-1, -4) and (4, 1). How many…

A: Given: The circles with a radius(r) is 5 containing the points (-1,-4) and (4,1) Then we have to…

Q: Show that the locus of the point whose distance from Y-axis is thrice it's distance from (1,2,-1) is…

A: Let the arbitrary point be Px,y,z. Consider that the distance between two points is given by the…

Q: quadrilateral

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Q: If point A is reflected over the y -axis and its original location was (2,3), where is its new…

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Q: Find the distance in between the point P(0, 2, – 4) and the point Q(3, – 2, – 3). -

A: Given:P0,2,-4 and Q3,-2,-3

Q: 6. The midpoint of a line segment in the standard (x,y) coordinate plane is (–5, 8). If one endpoint…

A: The midpoint of a line segment in the standard x, y coordinate plane is -5, 8. If one endpoint of…

Q: Show that the point is on the unit circle. (2-) We need to show that the point satisfies the…

A: Equation of unit circle is x²+y² = 1

Q: If two planes intersect, is it guaranteed that the method of setting one of the variables equal to…

A: Let say one the intersecting two planes is Ax + By + Cz =D When we put z = 0 the Plane reduces to…

Q: A circle is centered at the point (-1, 5) and has a radius of 6 units. a. Which points on the circle…

A: It is given that the centre of the circle is -1, 5 and the radius of the circle is 6 units. Sice,…

Q: Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with…

A: It can be solved easily by using geometrical figures properties.

Q: 8 If the shaded square has center at C and an area of A, find C and A. 'y-axis C• (-4, 0) (0, 0)…

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Q: Fix one vertex at (0,a) in the (x,y)-plane and move another vertex along the x-axis. Show that the…

A: Given: A fixed vertex 0,a A second vertex moving along the x-axis. To show: The locus of the third…

Q: Find the distance from the point (-2, 1, 4) to the plane y = -5

A: Given plane is: y = -5 Given point is: (-2, 1, 4) We know that the distance (d) of a point P(h, j,…

Q: Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (1,2),…

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Q: A radio signal can transmit messages up to a distance of 5 km. If the radio signal's origin is…

A: Given that radio signal can transmit messages up to a distance of 5 km origin = (-2, 7)

Q: Show that the locus of the point whose distance from Y-axis is thrice it's distance from (1,2,-1) is…

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Q: The distance between the points (4, 3) and (2, y) is 8 What is/are the coordinate(s) of y?

A: as per the bartleby guidelines ..I can only do first question.thank you

Q: A circle in the xy-plane has a diameter with endpoints (-1, 3) and (7,3). If the point (0,b) lies on…

A: Topic = circle

Q: The midpoint of the line segment connecting the points P, Q has coordinates (—4, —1). If the point P…

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Q: A rectangle has a vertex at J(2, 2), H(4, −2), and G(−2, −5). What are the coordinates of the fourth…

A: You know that the diagonals of a rectangle bisect each other.

Q: Find the coordinates of the points that are 15 units away from the origin and have a y-coordinate…

A: Given y- coordinate = -12

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.