In the xy-plane, (-3, 1) and (4, 3) are the endpoints of a diameter of a circle. What are the coordinates of the center of the circle?

Q: The equation of a circle of radius 2 centered at the point (2,-3) is:

A: Please refer the attached image for complete solution.

Q: find the distance from the point (2,5) to the line y=2x.

A: Refer  to the question,The distance from a point to the line is the shortest distance between the…

Q: find the distance from the point to the line. (0, 0, 12); x = 4t, y = -2t, z = 2t

A:

Q: Which point is the center of the circle* 4x2 + 4y2 = 4y - 8x + 5? %3D

A: Given that: 4x2+4y2=4y-8x+5

Q: Find the distance between the points.(−2, 6), (3, −6)

A: The distance between the two points (x1,y1) and (x2,y2) is given by D=(x2-x1)2+(y2-y1)2. Substitute…

Q: Find the distance between the two Y(2, 0), P(2, 6)

A: to find distance between two points  Y2,0 and P2,6

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

A:

Q: Which point is closest to the yz-plane? ? What is the distance from the yz-plane to this point?

A: The distance of a point from the yz-plane is given by the x coordinate of the point. Because, the x…

Q: Find equation for a circle with a diameter endpoints that are (5,-3) and (1,5)

A:

Q: The center of a circle has the coordinates (2-V2,3-V2). Show how there are no two points on the…

A:

Q: Find an equation of the circle that satisfies the stated conditions.

A: Find a equation of a circle with a center at…

Q: Find the distance from the point (3, 9) to the line y = 2x.

A: To find the distance from the point (3, 9) to the line y = 2x.Observe that the slope of the given…

Q: Find the centre and radius of the circle x² + y2² - 4x+6y-23 = 0. O centre (2,-3), radius 6 O centre…

A:

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: Find the distance from the point (3, -4, 2) to the yz-plane

A: We have to find the distance from the point 3,-4,2 to the yz-plane. We know that if any point px,y,z…

Q: Find the distance from the point (4, 21) to the line y = 5x

A:

Q: Sketch the second order spline that fits the end points PO (0,0), P2(9,4) and tangents intersection…

A: Here we need to sketch the second order spline that fits the end points P0 0,0, P2 9,4 and tangents…

Q: Find an equation for a circle of radius 4 and center at the point (0,-2).

A: Given: For a circle,                           radius, r = 4 And            center, (h, k) = (0,-2)

Q: What is the center-radius form of the equation of the circle with center (4,0) and radius 5

A:

Q: find the distance from the point to the line. (2, 1, -1); x = 2t, y = 1 + 2t, z = 2t

A: We have to find distance from the point 2,1,-1 to the line x=2t, y=1+2t, z=2t

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

A: The distance between two points (a,b) and (c,d) is given by:- D=(c-a)2+(d-b)2

Q: what is the radius of the circle 4x^2 + 4y^2 = 4y - 8x + 5

A:

Q: Find the distance from the point (4, 3, 0) to the x-axis

A: To find the distance from the point (4, 3, 0) to the x-axis

Q: Find the distance between the points (1,1) and (3,9) along the line y=4x-3

A: Since the points (1,1) and (3,9) lie on the line, so the distance between the points along the line…

Q: What are the center and the radius of the circle 4x² + 4y² - 4x + 16y + 1 = 0?

A: Given equation of circle is 4x2+4y2-4x+16y+1=0We know that the general equation of circle is…

Q: Find the distance from the point (4, 3, 0) to thea. x-axis b. y-axis c. z-axis

A: It is given that, the point 4,3,0.We have to find the distance from the given  point to the a…

Q: What is the equation of a circle with center (-3,8) and tangent to the y-axis?

A: Equation of circle is (x+3)^2 + (y-8)^2 = 64

Q: Find the distance between points P1(0, 0, 0) and P2(-6,-2,5).

A: Distance = x2-x1+Y2-Y1+z2-z1

Q: Find the distance from the point (4, 3, 0) to the y-axis

A: We have to find the distance from the point 4, 3, 0 to the y-axis. We know that distance from the…

Q: Find the distance from the point (4, 9) to the line y = 2x.

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Q: Test the equation of the circle x2 + y2 = 4 for symmetry.

A: To test the equation of the circle, x2+y2=4 for the symmetry about the x-axis, replace x with -x in…

Q: Find an equation of a line containing the point (1, 7, -3) and parallel to the yz- plane.

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Q: Find the distance between the plances 3x + y – 4z = 2 and 3x + y – 4z = 24

A: Given the two planes 3x+y-4z=2,3x+y-4z=24. The distance between two planes Ax+By+Cz=d1,Ax+By+Cz=d2…

Q: What is the y-coordinate of all points in the xz-plane?

A: Plane: The y-coordinate of all points in the xz plane , i.e. we need to put y=0.

Q: Find the equation of a circle of radius 3 and centered at (-1,3).

A: We find equation of circle of radius 3 and centred at (-1,3)

Q: What is the equation of the circle with center (-2,3) and radius 6?

A: The center of a circle is (-2, 3) and radius 6.

Q: Hence, find the distance between this point and point Q when a > 2.

A: This is a problem with the Application of derivatives.

Q: what is the strandard form of a equation for the circle whose center is at(1,8) and whose radius is…

A:

Q: Find the distance of the point (2, 6, 4)  from the x-axis by two methods

A: To find the distance between the point.

Q: What is the equation of the circle with center on the y-axis, that passes through the origin and the…

A:

Q: The circle x²+y²=9 has its center at the origin? True or false?

A: x²+y²=9

Q: What is the standard equation of a circle with center (5, -3) and radius 6?

A: Given

Q: Which of the fo llowing is a point on the 4) circle whose center is (0,0) and whose radius is 5?

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Q: Find the distance between the plances 3x + y - 4z = 2 and 3x + y – 4z = 24

A:

Q: find the standard form of the equation of the circle with center(-6,5) and tangent to the line y=3

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Q: 8) Determine the equation for the circle that has: Center: (-5, 3)| Radius: 6

A: The equation of the circle with center (h, k) and radius r is given by

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

A:

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: Prove analytically that the perpendicular bisector of a chord of a circle contains the center.

A: SOLUTION-

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.