Determine the ratio in which the line 3x + y – 9 = 0 divides the segment join the points (1, 3) and (2, 7).

Q: 4. The midpoint of the line segment with endpoints (x1, yı) and (x2, y2) is given by the formula

A: we know, the midpoint of the line segment with end points (x1,y1) and (x2,y2) is given by the…

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

A:

Q: Find the distance, to the nearest hundredth, between the given points. P1(3, 7) and P2(5, 1) Find…

A: Given : P13,7 and P25,1

Q: find the coordinate of point x such that the ratio of MX to XJ is 2:3

A: Let Position vector of point M and J be m→ and j→, respectively. Point X divides segment MJ into the…

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 ratio in which the point p whose abscissa is 3 divides the join of A(6, 5) and B(-1, 4) and…

A: Que 1:   Let the point P divides AB as k:1   Given that Abscissa of P is 3   The coordinate of A…

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: 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 from the point to the given line x 1+t, y= 3-2 2t, z=4- 3t and point (4,1,-2)

A:

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 ratio in which the point p whose abscissa is 3 divides the join of A(6, 5) and B(-1, 4) and…

A:

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

A:

Q: Find the acute angle between the lines: 2x+3y =-12, x+ 2y =-6

A:

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: 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: Find the distance between the two points rounding to the nearest tenth (if necessary). (4,0) and (0,…

A: Consider the provided point, 4,0 and 0,9 Now, find the distance between the two points.…

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: Find the distance between the parallel lines.

A: To find the distance between two parallel lines are                                          d…

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: The distance from a point (2, y) to the line 4x + 3y =0 is equal to 5. Find the value of y.

A:

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 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 Exact and approximate distance between the two points (7,2) (11,5)

A: The given two points are (7, 2) and (11, 5) The distance formula is given as:

Q: Find the distance from the point to the given line x =1+t, y= 3-2 2t, z=4- 3t and point (4,1,-2)

A: To find  The distance from the point to the given line.

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

A: Given : The points, (7, - 3), and (5, 2)

Q: Find the value of x,if the distance between the pints (x,1) and (3,2) is 5

A: We have to find the value of x if the distance between the points x,1 and 3,2 is 5.

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: Find the distance, to the nearest hundredth, between the given points. P1(−5, −3) and P2(4, −2)…

A:

Q: What is the distance between the points M(-3,1) and N(7,-3)?

A:

Q: Find the distance d from the origin out to the point (8, −6)

A: Given, Point say A(8,-6) and Origin O(0,0)

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

A:

Q: Find the distance d between the points (1, 3) and (5, 6).

A: Our Aim is to find the distance between the points (1,3) and (5,6).

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

A:

Q: Find the midpoint of the segment joining (4, −6) and (2, −6). (x, y) =?

A:

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

A:

Q: Find the y value for the point that divides the line segment CD into a ratio of 4:1.

A:

Q: point

A:

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

A: Let the given points be A(1, 3) and B(2, 7) Let the line 3x + y – 9 = 0 divide the line segment AB…

Q: Find the distance from the point (-3,1,0) to the line d(t) = (1, 0, 2)t + (4, – 9, – 2) .

A:

Q: Find the distance in between the point P(0, 2, – 1) and the point Q(0, 1, 2).

A: we have to find distance between the points P and Q Given Points : P(0,2,-1) and Q(0,1,2)

Q: State the formula for the distance between (x1, y1) and (x2, y2).

A: Determine the formula for the distance between x1, y1 & x2, y2

Q: Find the distance between the points given. (1, 2)аnd (13, 7) (8, 15)and (-7, 23) (-15,–18)and (3,…

A: A line is generally an object in geometry that doesn't bend i.e. it has no curve. It is a collection…

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: 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.