Point M lies on the line segment connecting L(-4, 2) and N(2,-4). If M partitions the segment in the ratio 1:2, what are the coordinates of M? O A (-2,0) O B (-3, 1) O (-1,-1)

Q: Point I is on line segment HJ. Given IJ = 3x +3, HI = 3x-1, and HJ 3x +8, determine the numerical…

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Q: What are the coordinates of the point on the directed line segment from (-6, –3) to (-1,7) that…

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Q: What are the coordinates of the point on the directed line segment from (-6,-10) to (6,8) that…

A: Our Aim is to find the coordinates of the point on the directed line segmentfom (-6,-10) to (6,8)…

Q: Point A is located at (4, 8) and poiħt B is located at (14, 10) . What point partitions the directed…

A: Given: Point A is located at (4,8) and point B is located at (14,10).  Find the point that…

Q: A circle passes through the point (6, 2). If segments of the straight lines x + y = 6 and x + 2y = 4…

A: We can find the radius as below.

Q: How many lines of symmetry does this shape have?

A: The lines of symmetry for the shape is

Q: Find the coordinates of the point which divides the line segment connecting (-1,4) and (2,-3) into…

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Q: The coordinates of point P are (2,3,7). What is the exact distance between point P and the z-axis?

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Q: 5. Point D is the midpoint of segment BC. If B(-4, 2) and C(10, 8), what is the midpoint of segment…

A: 5)

Q: consider a line segment connecting a point O (0,0) and point P (-3,5) as a terminal side which forms…

A: Refer  to the question, the points can be plotted as,

Q: What are the coordinates of the point on the directed line segment from (-10, –10) to (6, –2) that…

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Q: What are the coordinates of the point on the directed line segment from (-1, -9) to (2, 6) that…

A: Use the section formula and simplify.

Q: What are the coordinates of the point on the directed line segment from (-10, -1) to (-3,-8) that…

A: we have to find the coordinates of the point on the directed line segment into  a ratio 6 to 1

Q: What are the coordinates of the point on the directed line segment from (-3, 8) to (6, –4) that…

A: Section formula is the concept we are using here..    x, y =  mx2+nx1m+n , my2+ny1m+n  Are the…

Q: What are the coordinates of the point on the directed line segment from (-1, –6) to (8, –3) that…

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Q: Find the point Q along the directed line segment from point R(-3,3) to point S(6,-3) that divides…

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Q: What are the coordinates of the point on the directed line segment from (-6,-6) to (9,-1) that…

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Q: Point M lies on the line segment connecting L(-4,2) and N(2,-4). If M partitions the segment in the…

A: We have to find co-ordinate of M.

Q: What are the coordinates of the point on the directed line segment from (-6, –6) to (-4, 10) that…

A: we have to find point

Q: Point A is located at (1, 10) and point B is located at (20, 18). What point partitions the directed…

A: Given: Coordinates of point A is 1,10. Coordinates of point B is 20,18. Coordinates of the point…

Q: What are the coordinates of the point on the directed line segment from (-6, 7) to (9, –5) that…

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Q: A point is plotted on a coordinate grid at (−3,4) How far is the point from point (0,0)?

A: We know, By distance formula ,the distance d between two points whose coordinates are, (x1,y1) and…

Q: Point G partitions the directed line segment HJ in the ratio 3:2.  If point G is at (1, 5) and point…

A: Given; Point G partitions the directed line segment HJ in the ratio 3:2.  point G is at (1, 5) and…

Q: Find the point R that breaks the directed segment PQ  in a ratio of 1:3, given point P(-4,5)  and…

A: Find the point R which breaks the segment PQ in the ratio 1:3 using section formula

Q: The endpoints of directed line segment PQ have coordinates of P(-7,–5) and Q(5,3). What are the…

A: Given:

Q: Point A is located at (4, 1) and point B is located at (9, 13). What are the coordinates of the…

A: Given, Coordinates of point A 4, 1  and point B 9, 13  A point divide the line segment in the ratio…

Q: Find point G on segment AB such that the ratio of AG to GB is 3:2

A: This is  a problem related to line and it's division. Based on the general formula and concept we…

Q: At what point on the line y = -b does the line segment from (0, 0) to (a,0) subtend the greatest…

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Q: Find the distance between the points. (4, 6) and (9, −6)

A: The objective is to find the distance between the points.

Q: What are the coordinates of the point on the directed line segment from (-7, -6)(−7,−6) to (3,…

A: A line segment having coordinates -7,-6 & 3,-10 is divided in the ratio 1:3

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

A: Given : 2,3,-1 and 4,-1,3

Q: What are the coordinates of the point on the directed line segment from (-1, 4) to (8, -8) that…

A:

Q: Point A is located at (5, 4) and point B is located at (10, 12). What point partitions the directed…

A: Given: A(5,4) B(10,12) m:n =3:1

Q: What is the distance between two 50 meters long poles if a cable of 80 meters is hanging from the…

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Q: Find the distance from the point A to the line through points B and C. Then show that the triangle…

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Q: The distance between the points  (a, b) and (c, d)  is         . So the distance between  (1, 2)…

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Q: What are the coordinates of the point on the directed line segment from (-1, 4) to (8,-8) that…

A: Let P =(-1,4), R = (8,-8) and Q be the point that partition this line segment in the ratio 2:1. We…

Q: 6. The midpoint of a line segment in the standard (x,y) coordinate plane is (–5, 8). If one endpoint…

A: The midpoint of a line segment in the standard x, y coordinate plane is -5, 8. If one endpoint of…

Q: Find the distance from the Point A (,2,1) to the line joining the too Points BB (o,5,2), C( 3,2,7).

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Q: What are the coordinates of the point on the directed line segment from (-8, 2)(−8,2) to (7,…

A: We have to find the coordinates of partition.  For this we will use the section formula

Q: What are the coordinates of the point on the directed line segment from (-3, -9)(−3,−9) to (4,…

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Q: Calculator Point A is located at (1, 10) and point B is located at (20, 18). What point partitions…

A: The given points are (x1, y1) = A(1, 10) (x2, y2) = B(20, 18) Given ratio m:n = 2:5

Q: What are the coordinates of the point on the directed line segment from (-1, –2) to (9, –10) that…

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Q: Find the length of the perpendicular drawn from point (2, 3, 4) to the line 4 1- 2 %3D 6 3

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Q: The midpoint of the line segment connecting the points P, Q has coordinates (—4, —1). If the point P…

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Q: the midpoint of line segment AB is point M, located at (-28, 5). If the coordinates of A are (2,…

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Q: What are the coordinates of the point on the directed line segment from (-8, 9) to (-6, –3) that…

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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.