Use the result in Exercise 24 to find the equation of the circle that has center (0, 0) and contains the point (3, 4).

Q: Find a parametric representation of the line through the points P(1,-1,2) and Q(3,1,8).

A: The parametric equation of line through the points x1,y1,z1 and x2,y2,z2 is given by  x=x1+tx2,…

Q: Write the standard from of the equation of the circle with center at (-3, 5) that is tangent to the…

A:

Q: find a parametrization for the curve. the line segment with endpoints (-1, 3) and (3, -2)

A:

Q: Find a parametric representation of a straight line through (1,1,1) and (4,0,2), and sketch it.

A:

Q: III. Find equation of the circle ( in general form ) that satisfies the given condition. 6.…

A:

Q: Graph the circles whose equations are given in Exercises 24–26. Label each circle’s center and…

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Find the distance from the point P(1, 4, 0) to the plane through A(0, 0, 0), B(2, 0, -1), and C(2,…

A: Given points A0,0,0 , B2,0,-1 & C2,-1,0The direction ratios of AB⇒2-0,0-0,-1-0=2,0,-1Similarly…

Q: Find a parametrization for the line segment beginning at P1 and ending at P2. 25) P1(-4, –5, 4) and…

A:

Q: Find the distance from the point (−3,0,2) to the plane - 3x + y + 5z = 0

A:

Q: In Exercises 31–40, write the standard form of the equation of the circle with the given center and…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: find the distance from the point to the plane. (2, -3, 4), x + 2y + 2z = 13

A: Given:

Q: lentify the center and radius of the circle defined by the equatic x – 2)² + (y – 3)² = -

A:

Q: The intersection between the surface x + y + z = - 1 and the circle x2 + y2 = 1,z = 0 is

A:

Q: In Exercises 23–40, determine the center (or vertex if the curve is e parabola) of the given curve.…

A:

Q: Determine the center of the circle on which the points (1, 7), (7, -1) and (8, 6) lie. What is the…

A:

Q: find the distance from the point to the plane. (0, 0, 0), 3x + 2y + 6z = 6

A:

Q: The distance between the point (9, 8, 3) and the plane x + y−2z = 5 is _____.

A:

Q: 3. Prove that points (5, 1), (2, -2), and (-1, –3) lie on a circle centred at (-2, 5). What is the…

A: Please rate and feel free to ask any query about any part.

Q: Parametrize the line segment joining the points P(1, 2, 0) and Q(1, 3, -1).

A: We know that equation of line passing through the points (x1,y1,z1) and (x2,y2,z2) is

Q: Using phytagorean theorem, derived the standard equation of a circle.

A: Given :   Using phytagorean theorem, derived the standard equation of a circle.

Q: Exercise 2. Find a formula for the curve which is traced by the motion of a fixed point on a wheel…

A:

Q: Q1: Rasterize a circle with center (150,100) and radius length equal to 5, then draw a complete…

A: Given that, A circle with center 150,100 and radius of circle is 5. We have the equation of circle,…

Q: In Exercises 21–23, find an equation for the circle with the given center C(h, k) and radius a. Then…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Use disk method and draw a graph. √(9-y^2 ),y=1,y=3,x=0 about the y-axis

A:

Q: Find the diff equation of family of circles with center on the line y = -x and through the origin.…

A:

Q: Find an equation for the set of all points equidistant from the point (0, 0, 2) and the xy-plane.

A: Let any such point is given by (x,y,z)(x,y,z) is z units away from the xy plane.

Q: In Exercises 23–40, determine the center (or vertex if the curve is a parabola) of the given curve.…

A:

Q: Calculate the shortest distance between the point P = (3, 2, 2) and the plane 5x+y-2z = 3. (Do not…

A:

Q: find a parametrization for the curve. the line segment with endpoints (-1, -3) and (4, 1)

A:

Q: Discribe the topology through diagrams of surface and curves

A: Describe topology through diagrams of surface and curves.

Q: Find the distance between the point (2, 0, 1) and the plane 2x - 3y + 6z = 6.

A:

Q: Find the distance between the point (2, 8, 4) and the plane 2x + y + z = 5.

A: we have to find the distance between the point (2,8,4) and the plane 2x+y+z=5. as we know that the…

Q: Find a parametrization for the line segment beginning at P, (-5, - 2,3) and ending at P2 0, 5/4

A: We have to use parameterization of the line.

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

A: Given, plane z=-1 and the point (-2,1,4)we have to find the distance from the given point to the…

Q: Use the result in Exercise 26 to find the equation of the circle that has center (0, 0) and contains…

A: Given Center of circle is at (0,0)   and contains point (3,4)   To evaluate, equation of circle

Q: Let S be the quadric with equation 36x² –4y² –9z² – 36x = 0. Sketch a graph of the surface with…

A:

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

A:

Q: A circle centered at (9, 15) has only 1 y-intercept. What is it's radius?

A: Given : Center of Circle is (9 , 15) has only 1 y-intersept. To find : Radius of circle  Solution :…

Q: Find the point on the surface fx,

A:

Q: Find Parametric efuatins for the lines - The line through (1-2-2) Paralle tothe(Z)-axis.

A:

Q: Find the distance from the point (-2, 2, 3) to the plane -3x + y – z = 9.

A:

Q: A circle centered at (9, 15) has only 1 y-intercept. What is it's radius ?

A: we have to find the radius of the circle

Q: Find the distance from the point A,= (-7,5, 8) to the plane – 5x + 4y+ 3z = -2. Enter the distance

A:

Q: Find a path that traces the circle in the plane y=5 with radius r=2 and center (-1,5, -4) with…

A: The radius if circle = 2 and center (-1,5,-4) The equation of such circle is given by: The…

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

A: Given: 3,-4,2

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: Find the distance from the point (7,-9,-5) to the plane 3x + 5y = 51.

A:

Q: Suppose the positive x-, y-, and z-axes point east, north, and upward, respectively. Describe the…

A: Given: x, y and z axes point east, north and upwards respectively. The objective is to describe…

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

A: SOLUTION-

Q: Find the distance of the plane passing through the points ā, b, c from the origin.

A: First we derive the vector equation of plane.    The perpendicular distance is the projection on the…