10. Plot the points (-1, 3) and (4, 3). What would be the remaining two points of a rectangle whose area is 30 square units? A. (-1,-1) and (4, -1) B. (-1.-2) and (4, -2) C. (-1, -3) and (4, -3) D. (-1. -4) and (4, -4)

Q: Consider the points A(3, 5, 1), B(7, -1, 0) and – C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

A: The given points are A3,-5,1, B7,-1,0 and C-1,-3,4

Q: What is the distance between the points A: (-2, -4) and B: (-4, -2)?

A:

Q: Find the point on the line x - 3y+9 = 0 that is closest to the point (-1, 3). 1) (-0.9, 2.7) O 2)…

A: Closest distance form a point to a line is normal distance from point to line.

Q: Find the distance between each pair of points: a) (-3, - 7) and (2, 5) b) (0, 0) and (- 2, 6) c)…

A: We have to find the distance between each pair of points: a) -3, -7 and 2, 5 b) 0, 0 and -2, 6 c)…

Q: (i) Find the coordinates of the points of trisection of the line segment joining (4,-1) and (-2,-3).

A:

Q: Consider the points A(3, — 5, 1), B(7, — 1, 0) and C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

A:

Q: Find the distance between the points p1and P2. P1 =(3, -4); P2 =(5, 4)

A: We have two points of the form P1x1,y1=3,-4  ,  P2x2,y2=5,4. Distance between two points is…

Q: 3) Find the point, M, that is five-sixths of the distance from A(-7, 2) to B(-1, -4). A) (-1, -3) B)…

A: solution.

Q: Find x²z ds, where C is the line segment from (0,-5,4) to (2,-7,8)

A: C is line segment from (0,-5,4) to (2,-7,8). parametric equations of C are: r(t)⇀=(1-t)r0⇀+tr1⇀  ,…

Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6).

A:

Q: The distance from the point (5, 3) to the line 2x +4y + 5 = 0 is O A. 2.457 B. 3.801 C. 4.63 D.…

A:

Q: 11. X(3, 2), Y(3, -12) 12. A(-4, -2), В(4, - 1)

A:

Q: How far is the point (2, -3) from the line 3x - 4y +7 =0? O 5 4

A:

Q: 14) Write the equation of the perpendicular bisector of segment QR if Q(3, -2) and R(7, 6)

A: Find the equation

Q: Connect the two points (1, d(1)) and (3, d(3)) with a straight line.

A: Given

Q: Find the points on the coordinate plane 2,3) and Q(2.-2.-1)

A: Given query is to find point P and Q on coordinate plane.

Q: Find the distance between points A (-2,6) and B (4,-3)

A:

Q: 10. Given two points P1(0,2,-1) and P2(2,0,-1), find the perpendicular distance from the point P3(3,…

A:

Q: Suppose A(-9, -8) and B(-4, -6). What is the x coordinate of the midpoint for AB?

A:

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

A:

Q: The distance from (-2,-5,-6) to the yz-plane is (A) -2 (B) 2 (C) (D) -5 (E) 6

A: Use distance between two points

Q: Find the distance from the point (-6,-2,0) to the line a(t) = ( – 1, – 2, – 5)t + (3, – 6, 6)

A: We  use the definitions

Q: Find the angle between the straight lines 3x-4y=12,3x-4y=7

A:

Q: Find the distance between two parallel lines y = 2/3x +7 and -2x+3y=12

A:

Q: Find the distance between the points A(2, 5) and B(4, -1).

A: The distance d between two points x1,y1 and x2,y2 is given by; d=x1-x22+(y2-y1)2  Therefore the…

Q: How far is the intersection of the lines 4x-5y=26 and 3x+7y+2=0 from the origin

A: We have to find the distance of the intersection of the lines 4x-5y=26 and 3x+7y+2=0 from the…

Q: Find the distance between points (-2, 3) and (4, -1).

A:

Q: What is the slope of the altitude from vertex B to side AC of a triangle whose vertices are at A(2,…

A: Given problem:- What is the slope of the altitude from vertex B to side AC of a triangle whose…

Q: Find the distance between the points p1 and P2. P1 =(4, -3); P2 =(6, 4)

A:

Q: Find the distance d between the points (-2, 2, 2) and (-6, 3, -6). d =

A:

Q: Find the area of the triangle formed by the lines 5x + y – 14 = 0, x+ 7y + 38 = 0, and 9x – 5y + 2 =…

A:

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

A: Distance = x2-x1+Y2-Y1+z2-z1

Q: 3. Find the area of the quadrilateral enclosed by the lines x y = 0, 2x – 5y = –15 and 5x – 2y = 15.…

A: Let's find.

Q: What is the distance between the two given points(5,1)and (5,-6)

A: Given The points are (5 ,1) and (5 ,-6) Distance formula

Q: Which of the points A(4,4) or B(5,3) is closer to the point C(-1,-3)?

A:

Q: B. Find the distance between the two points. 1. (2,-1), (2, 3) 2. (-5,-2), (0, -2) 3. (0, 6), (4, 9)…

A:

Q: Find the distance between points A (6, -2) and B (-6, 2).

A:

Q: Q2: The distance between the point (1, -3) and (4, 5) is

A: The given points are (1, -3) and (4, 5).

Q: Find b so that the points (4,-6), (5,-8), and (b,-2) lie on the line

A: Please find the solution in the attached images :

Q: Q1: Determine the coordinates of point N (zero, ?, ?) located on the line AB where: A(-4,5,6) B…

A:

Q: Find all points on the y-axis that are 5 units from the point (4, 4).

A: Distance between two points (x1,y1) and (x2,y2) on the graph is given by the distance formula, that…

Q: Find the distance between each pair of points. (a) (-4, 0) and (0, 3) (b) (-2, 6) and (4, -2) (c)…

A: Distance between points is x2-x12+y2-y12.

Q: Find the distance between the points P1 = (4, - 7) and P2 = ( - 1, 5).

A:

Q: find the distance between two given points 2. C(11,9) D (5,1)

A: Given points is C(11,9) D (5,1)

Q: Find the distance between each pair of points: c) (-5, 2) and (7, -3) d) (x - 3, y + 2) and (x, y -…

A: The given points 6,4 and 6,-3 formula used: distance between the pointsx1, y1, x2, y2:…

Q: 4. K(5, -3), L(7, 1), M(9, -3). N(7. -7)

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: What is the area of the triangle formed by the lines y=-2x+6, y=-2, and x=0

A: Find the solution below

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.