6. Find the distance between the two points P(1, 0, 2) and Q(4, 4, –10). (а) 13 (c) 26 (b) 5 (d) none of the choices

Q: 8. Find the point (x. y) such that (1, 3) is the midpoint of the line segment connecting a. (x, y)…

A:

Q: 30) The coordinates of the endpoints of line segment CD are C(–4, 1) and D(3, 4). Reflect the line…

A: x-axis is also known as the principal axis . The y-coordinate of the point that lies on x-axis is 0.

Q: Given that yp, = 3e is a particular solution of y"- 6y' +5y = -9e2", and YP2 = x? +3x is a…

A:

Q: What is the distance from P(2,4) to 2x-3y+1=0?

A:

Q: • r : (x, Y, z) = (7, 8, 2) + X(-3, –8, 2) %3D 7 – x y – 8 - x y – 8 2 – z • S : -7 -6 4

A: Given query is to find the angle between two line.

Q: Q3/ plot the points A (0, 1), B (3,2), C(2,1) and D(-3, 0) and determine wether or not ABCD is…

A:

Q: Which of the following points is on the line with the given equation y = 1- 4x? A) (0, 0) B) (-1,…

A:

Q: The line containing the median of the trapezoid whose vertices are R(-1, 5) , S(1, 8), T(7, -2), and…

A:

Q: 10. Given X(7,3) and Y(-6,2), find the coordinates of any point Z such that XZ XY = 41. .

A:

Q: D, E, F

A:

Q: Q6) Find the distance from the point S= (1, 2, 1) to the line x = 2 -t, y=-1 + 2t, and z= 2 + 2t.

A:

Q: Find the distance between points P, and P2. P, (3, – 4,4), P2(10, – 5,4) The distance is

A:

Q: 6. A line segment has endpoints at 4(-1, -8) and B(5, -4). Which of the following are the…

A:

Q: 25. Determine the x- and y-intercepts. a) [x, y] = [2, –4] + t[3, –1] b) [x, y] = [-8, 11] + t[5, 2]…

A: The given equations are in parametric form. To find x-intercept put y=0 and get the value of…

Q: 29. (-2, 2) reflected through the y-axis is a. (-2, 2) b. (2, 2) с. (-2, -2) d. (2, -2)

A: Rule:-  A point ( x,y ) After reflection through y axis becomes ( -x , y)

Q: Determine the distance between the point (8,-2,-1)and the line (x, y, z) = (-1,4,-3) + k(5,-4,-2),…

A:

Q: 3. Find the best values of a, and a, if the line y=a₁x+a is fitted to the d (0,1),(2,5), (5,12),…

A: this is question  of geometry  here line equation  is given  and point are given we have to find…

Q: 4 3 D B C -5 -4 -3 -2 -1 -1 2 4 A -2 P -3 -4 -5 Consider the line segment PQ with endpoints P(-3,…

A:

Q: 2. Sketch the line = : (−2,−3) + t(3,4), and label 3

A: An equation of the formhas x-intercept a and y-intercept b.

Q: 2- The line perpendicular to the triangular (PQR) and through the point (P) if P(1,-1,2), Q(0,3,1),…

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.