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

Q: The distance from the point P(3, 1,0) and the line x = 3 – 6t y =1+ 3t z = 7t equals to Answer:

A:

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: 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 coordinates of the midpoint of the line segment joining the points. (4, 0, -5), (6, 6, 19)…

A:

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: a) Find the distance between the point P (9, 1) and the line 3x+4y 6.

A: As per our guidelines we are supposed to solve only one question i.e. the question no (a). For the…

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

A:

Q: Find the distance between the point P(-2,4) and the line 3x-4y 12

A: Find the distance from the point P (–2, 4) to the line 3x – 4y = 12.

Q: a) Find the distance between the point P=(9, 1) and the line 3x+4y=6.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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 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 of x to y if: 8x-3y / 12y + 6x = 1/2

A:

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

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

A:

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 of the line 7x + y –5 = 0 from the origin is?

A:

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 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 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 coordinates of the midpoint of the line segment joining the points. (2, 0, -8), (8, 8, 22)…

A: The given coordinates are (2,0,-8) and (8,8,22)

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 coordinates of the midpoint of the line segment joining the points. (2, 0, −3), (8, 6, 15)…

A: The solution is given below

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

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 d between the points (-2, 2, 2) and (-6, 3, -6). d =

A:

Q: Find the distance between the points (3, 1) and (9, 9)

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 between the points (1, 9) and (8, 10).

A:

Q: Find the acute angle between the lines 7x - 4y = 0 and 3x - 11y + 5 = 0.

A: This question is based on straight line.

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 between the given points. (- 3, 1) and (9, 6)

A: We have to find the distance between two points which we can find using distance formula which is…

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 the coordinates of the midpoint of the line segment joining the points. (2, 0, -8), (4, 8, 22)…

A: Midpoint Formula:  (x,y,z)=x1+x22,y1+y22,z1+z22 Given that,  x1,x2,x3=2,0,-8 y1,y2,y3=(4,8,22)

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

A: Given equation of lines are 5x+y=14; x+7y=-38 and 9x-5y=-2. We have to find the area of the triangle…

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

A:

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 between points A(1,1,0) and B(1,0,1)?

A: A1, 1, 0 & B1, 0, 1.

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.