13. The equation of the sphere if one of its diameters has endpoints (1, 2, 4) and (-1,4,0) is given by (x – a)² + (y – b)² + (z – c)² = r². Then the values of a,b, c, r² , respectivelly, are -1, 4, 0, 24 1, 2, 4, 6

Q: a point Q(x2, y2) is on the line segment passing through R(-2,5) and S(4,1). Find the coordinates of…

A: Given: Given that the point Qx,y is on the line segment passing through R-2,5 and S4,1 Point Q is…

Q: circle passes through the points (2,1) and (-2,3) and its center is on the line 2x＋y＋4=0. Find its…

A:

Q: The plane through the points (-4,-8,-1), (8,3,5), (7,8,6) has equation Ax + By + Cz= D. If A = - 19…

A: Since plane passes through the given points therefore

Q: A neighborhood planner uses a coordinate plane to design a new neighborhood. The coordinates A(1,…

A: Given  A(1,-1), B(1,-2), C(2,-1)are the initial coordinates of the House A, B, C. A'(3, -4) are the…

Q: x- - Consider the equations 2x + 4y = 8 and y = 10. Select the point where the graphs of these two…

A: Point of intersection is the point which lies on both lines, simply they are values of x and y that…

Q: The surface described by the equation 3x-+3y-+3z--8x+4z+38=0 is

A:

Q: 9. Find the equation for the plane through Po(-2,3,9) perpendicular to the line x = -2 – t, y = -3 +…

A:

Q: A city is described parametrically by the equation r = (ai + bj+ck) + svi + tv₂ where v₁ = 3i+j+ k…

A:

Q: Which equation represents a circle with a center at (2, - 7) and a radius of 4 units?

A:

Q: 1. Find an equation of the perpendicular bisector of the segment joining(3. -1) and (-1. 7). (A) x +…

A: Here we have to find the equation of line which is perpendicular bisector of the segment joining(3.…

Q: 10. If the equation of a circle is (x- 3)* +(y+5) = 225 , find the center and radius.

A: Since, we have been given up the equation of circle (x-3)2+(y+5)2=225-(i)Our Aim is to find the…

Q: the Föllówing equation, identify the coordinates of the center an (x - 3)2 + (y + 2)? = 81

A: Comparing with standard form of equations of circle,

Q: Determines the Cartesian equation of the plan that is parallel to the plan 2x - 3y + z - 1=0 and…

A: We have to find the equation that is parallel to the plane 2x-3y+z-1=0. Also plane passes through…

Q: What are the intersection points of the parabola given by the equation y = x2 – 9 and the line given…

A:

Q: 10. Plot the points (-1, 3) and (4, 3). What would be the remaining two points of a rectangle whose…

A:

Q: To y=x²-12x + 20 Parabola Wite the intersection point of the tanpent lines drawn from (2,0) and…

A: Consider the given parabola and find the derivative of the parabola.…

Q: A billiards table is 8 feet by 4 feet, and has pockets in all four corners and in the middle of the…

A:

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.