Find the ratio in which the point p whose abscissa is 3 divides the join of A(6, 5) and B(-1, 4) and hence find the coordinates of point P! Determine the ratio in which the line 3x + y – 9 = 0 divides the segment joining the points (1, 3) and (2, 7).

Q: Find the distance, to the nearest hundredth, between the given points. P1(0, 7) and P2(-4, 8) Find…

A: We need to find the distance.

Q: 2. At what point greatest angle. on the line y = b does the line segment from (0,0) to ( a,0)…

A: To find the point on the line y = b  that subtend the greatest angle on the line segment from (0, 0)…

Q: The distance d from the point (2, - 3) to the point (5, 1) is________ .

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Q: How find the pistance from fant (1,3) and Line y -4

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

A: Question 2) Consider the given line y=b  and the points (0,0) and (a,0)

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

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Q: Find the distance from the point to the line. (-4, – 2,1); x= 5 – t, y = 1- 2t, z = - 6 + 3t

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Q: 5. Find the bisectors of the angles between the lines, 2x-y 1 and 11x +2y= 5.

A: Given, lines, 2x-y=1,  11x+2y=5 now find angle bisectors between lines we know the formula of…

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

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Q: In the coordinate plane, right triangle AXYZ is reflected over the line y = x. 5 3 X 2- -6 -5 -4 -3…

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Q: Find the angle from the line 9y – 5x + 23 = 0 to the vertical line 6 units from the y – axis. Angles…

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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: A line L1 with slope of -3 intersects a line L2 parallel to the y – axis at (3,5). Find the angle…

A: Answer and explanation is given below...

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

A: For two real numbers their average value is given by sum of two numbers divided by number of…

Q: The distance d from the point (2, - 3) to the point (5, 1) is

A: Given: From (2,-3) to  (5,1) To find the distance

Q: 5. Determine the angle 0 between the lines 3x + 4y - 6 =0 and 2x + 3y + 4 = 0.

A: Here we have to determine the angle θ between the lines 3x+4y-6=0 ..................... (1) and…

Q: Find the point P on AB that is one-third of the distance from A(-1, 2) to B(8, 5). y 10 8. P -10-8…

A: Given points A(-1, 2) and B(8, 5). To find point P which divides the line segment in the ratio 1:3.…

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

A: Consider the given line y=b  and the points (0,0) and (a,0)

Q: The line 4x – 3y = -32 intersects with x – axis. Find the angle from the said line to the x – axis.…

A: Topic:- slope and angle with x -axis

Q: find the distance from the point to the line. (2, 1, -1); x = 2t, y = 1 + 2t, z = 2t

A: We have to find distance from the point 2,1,-1 to the line x=2t, y=1+2t, z=2t

Q: Find the distance from the point (3, 5, 1) to the line æ = = 0, y = 5 + 2t, z = 1+ 3t.

A: Given line x=0, y=5+2t, z=1+3t Therefore line passing through the point (0,5,1) and direction ratio…

Q: Find the distance from point P to line L.  P(3,-1,4), L: (x-4)/-1 = (y-3)/2 = (x+5)/3

A:

Q: Find the distance between the point (-1, 5, 3) and the line given by x = 5 + t, y = 1 - 2t, and z =…

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Q: 22. Find the distance from the point (5, 2, –1) to the line x – 1 2. || ||

A: A line in three-dimensional geometry can be represented by parametric form, vector form, or…

Q: Find the distance from the point (3,-1, 4) to the line a = 4 – t, y = 3 + 2t, z = -5+ 3t.

A: Given: point 3,-1,4 and equation of line x=4-t, y=3+2t, z=-5+3t Formula: The distance between point…

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

A:

Q: find the coordinate of point x such that the ratio of fx to xd is 5:3

A: find the coordinate of point x such that the ratio of fx to xd is 5:3

Q: Find the distance from the point P(2,1) to the line v = x + 2

A:

Q: Find the distance from the point to the line.   (−4,4,−1)​; x=-3+3t, y=-1+t, z=1+2t   The distance…

A:

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

A:

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

A: Given :  P = ( - 1, 3) and Q = (4, - 2) we have to find the distance between the points also find…

Q: d the eqation of the line that passes through A(1,2,1) and intersects the line x+1 у-2 z+1 %3D at…

A: Topic:- geometry

Q: 7. Find the distance from the point A to the line through the points B and C where A, B, and C have…

A:

Q: Find the smallest angle between the lines 2x+y-8=0 and x+3y+4=0

A: We have to find angle between lines.

Q: Find the distance between the points (-4, 0) and (-10, 8). O5/2 O 10 O 2 3

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Q: The distance from a point P₁(x1, y₁) to the line ax + by + c = 0 is lax₁ + by₁ + cl √² + b² Use this…

A: SOLUTION-

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

A:

Q: Find the distance, to the nearest hundredth, between the given points. P1(9, 3) and P2(11, 1) Find…

A:

Q: point

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

A:

Q: 5- Find the distance from the point to the line. a. (0,0, 12); x = 4t, y = -2t, z = 2t b. (0, 0, 0);…

A:

Q: Find the distance between the point (-1, 3, 5) and the line given by x = 3 + t, y = 1- 2t, and z =…

A:

Q: Find the length of the tangent to a circle from point of tangency to point (8,2) . The circle is…

A:

Q: Find y so the distance between (7, y ) and (3, -1) is 5.

A: We have to find y so the distance (7,y) and (3,-1) is 5.

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:

Q: The distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3- 2t ,y=-2t+1,z=t is

A: Distance between two Parallel Lines we calculate as a distance between intersection of the lines and…

Q: Find the distance from the point (2, 2, 3) to the line x = 0, y = 2+ 5t, z = 3+ 3t.

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.