Find the ratio in which the following straight lines divides the line segment joining the given points.State whether the point lie on the same side or on either side of the straight line. i)3x+4y-6,(2,-1) and (1,1) ii)2x+3y=5,(0,0) and (-2,1)

Q: find the distance from the point to the line. (0, 0, 12); x = 4t, y = -2t, z = 2t

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Q: Find the distance between the points (3, - 6) and (1, 0).

A: The given two points are 3,-6 and 1,0 Using the distance formula, the distance between two points…

Q: The coordinates of the points A,B,C and D are (-2,3), (8,9), (0,4) and (3,0) respectively. Find the…

A: Plot the points on the graph and mark the line segments AB and CD.

Q: Find the distance between the points P = ( - 1, 3) and Q = (4, -2). Find the midpoint of the line…

A: (-1,3),(4,-2)

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

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

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Q: Find the midpoint of a line segment from P1 = ( - 5, 5) to P2 = (3, 1). Plot thepoints P1 and P2 and…

A: Consider a line segment AB such that P is the midpoint of the line segment AB. Let x1, y1 be the…

Q: . Find the exact distance between P1 = ( - 1, - 7) andP2 = ( 2, - 1). Then approximate the distance…

A: We know that, the distance d between two points x1,y1 and x2,y2 is given as d=x2-x12+y2-y12…

Q: Use the method above to find the distance from the point P(-3, 1, 2) to the line through A(1, 1,0)…

A:

Q: Find the distance between the two Y(2, 0), P(2, 6)

A: to find distance between two points  Y2,0 and P2,6

Q: Find the point which divides the line with the ratio of 2 is to 3. The endpoints of the line are (1,…

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

A: Given points are  x1,y1=1,-1x2,y2=2,-2

Q: Find the distance between the points. (3/2, 4/3) , (1, –2) =       Units.

A: Recall: Distance between two points (x1,y1) and (x2.y2) is x2-x12+y2-y12

Q: Find the slope of the line that is a) parallel to the line containing (a, 0) and (0, b). b)…

A: Given the points (a,0) and (0,b). We need to find the slope of the line: 1) parallel to the line…

Q: Find the ratio in which the x – axis divided the line segment joining the points (7, -3) and (5, 2).

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first…

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

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Q: Find the distance from the point (- 2, – 8, – 6) to the line a(t) (5, 3, 2)t + (– 6, 6, – 5). |

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Q: Find the distance from the point to the line. Knowing that the point Po (2, 1, 3), x= 2+2t, y= 1+6t,…

A: The distance of a point P from a line passing through the point Q and parallel to the vector v→ is…

Q: Find the distance from the point (3, 9) to the line y = 2x.

A: To find the distance from the point (3, 9) to the line y = 2x.Observe that the slope of the given…

Q: Find the distance from the point (0, 0, 0) to the line x = 5 + 3t, y = 5 + 4t, z = -3 – 5t.

A: Find the distance.

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

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Q: Find the distance from the point (4, 21) to the line y = 5x

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Q: Find the distance between two lines ()1=4-x , y;=- (x+2).

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

Q: Find the distance from the point A to the line through the points B and C where A, B, d C have the…

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Q: Find the distance between the points (1, −7) and (4, 2).

A: To find the distance between the given points

Q: What is the midpoint of the line segment? Drag the coordinates to the boxes to correctly match the…

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Q: Find the angle formed by the line 3x+4y-12=0 with the x-axis.

A: Angle of the line along x-axis

Q: Find the distance from P(1, -2, 3) to Q(-3, 5, -2).

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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: Please solve and show your work

A: The given points are

Q: Find the distance between the points P = 1 - 1, 32 andQ = 14, - 22. Find the midpoint of the line…

A: Given, P=-1, 3Q=4, -2

Q: Find the distance between the points (1,1) and (3,9) along the line y=4x-3

A: Since the points (1,1) and (3,9) lie on the line, so the distance between the points along the line…

Q: Plot the points (−2, 6) and (4, −3). Then find the distance between the points and the midpoint of…

A: Plot the points (−2, 6) and (4, −3).

Q: (2,1) From the graph, find the midpoint of the line segment with endpoints of (- 2, 1) and (4, 3).…

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Q: Find the distance of the line segment with the given endpoints. 1. (-2,3) and (4,-1) 2. (10,0) and…

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Q: The midpoint of the line segment joining the point (0,1) and (8,-1) is ?

A: Use the mid point formula and simplify.

Q: Find the distance from the point to the line. Knowing that the point Po (2, 1, 3), x= 2+2t, y= 1+6t…

A: This question is based on distance between point and line in 3d geometry.

Q: Find the distance from point A = (4, 7, 9) to the following line:

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Q: Find the distance between the points (1, 9) and (8, 10).

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Q: Find the distance between the points (3, 8) and (-1, 11) and the slope of the line containing them.

A: We need to find the distance between (3, 8) and (-1, 11). Compute the distance between x1, y1, x2,…

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: Find the ration in which YZ -plane divides the line joining A(2,4,5) and B(3,5,-4) .Also find the…

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Q: 1. For the points (3, - 7) and (- 1, 2), find the distance d between the points and the midpoint M…

A: According to our guidlines we can solve only first question 1. Given point 3,-7 and  -1,2To find:…

Q: find the distance from the point to the line. (-1, 4, 3); x = 10 + 4t, y = -3, z = 4t

A: Given  Point = P (-1, 4, 3) Equation of line : L1 :  x = 10 + 4t, y = -3, z = 4t Rewrite the…

Q: Determine the ratio in which the line 3x + y – 9 = 0 divides the segment join the points (1, 3) and…

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Q: Find the distance between the points (14, -16) and (14,3)

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Q: Determine the coordinates of the point P that divides the segment formed by A (1,6) and B (7, -2) in…

A: The detailed solution is as follows 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.