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

Q: Find the distance between these two points: (1, -5) and (5, -1)

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

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Q: The distance between the points A = (-3, –2) and B = (3,3) is,

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Q: Find the point on the line 5x + y = 5 that is closest to the point  (−4, 1).   x,y= (  , )

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Q: the distance from the point (5,3) to the line 2x+4y+5=0 is

A: solution

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: Find the distance of the line 4x + 7y+ 5 = 0 from the point (1, 2) along the line 2x - y= 0.

A: Consider the provided question, (21) First find the intersection point of the two lines,

Q: Find the point on y – axis which is equidistant from the points (3, 1, 2) and (5, 5, 2)

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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: 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)

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Q: Find | 22 x²z ds, where C is the line segment from (0,4,-6) to (2,9,-5)

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

A: Given Data The points is 3,-1,4. x=4-t. y=3+2t. z=-5+3t.   The line is passes through the points of…

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 between the points ( –4, 8) and (–5, –1)

A: To find the distance between the two points (-5,8) and (-5,-1)

Q: Find | x²z ds, where C is the line segment C from (0,-3,2) to (-3,-2,8)

A: Given C is the line segment from (0,-3,2) to (-3,-2,8) Now write the parametric equation for C…

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

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Q: Find the distance between points A (-2,6) and B (4,-3)

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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: Use the method above to find the distance from the point P(-3,1,7) to the line through A(1,1,0) and…

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Q: Find the distance between the line 3x − y = 0 and the point (2, −4).

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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 distance from the point (-6,-2,0) to the line a(t) = ( – 1, – 2, – 5)t + (3, – 6, 6)

A: We  use the definitions

Q: Find the distance between the points (0,5) and (-3,2)

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

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Q: find the distance from A(4, 6, -3) to the line x = 3t + 1, y = -t + 3, z = 6t

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

A: The distance between two points (a,b) and (c,d) is given by:- D=(c-a)2+(d-b)2

Q: Find the distance from the Point to the given line X- 1+t, y- 3-2t, z-4-3t and point 6. (4,1,-2)

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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: 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 between the points.

A: To find the distance between the points 12,43 and 2,-1. Solution: Distance formula states that…

Q: Find the distance of the point (4, 2, -4) from the line r(t) = (1+2t, 1+ 2t, 7 - 3t).

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

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

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Q: Find the distance from the point (-2,2,-1) to the line ä(t) = (- 2,3, 2)t + (8,0, – 7).

A: the given point is (-2, 2, -1) the line equation is a→(t) = <-2, 3, 2>t + <8, 0, -7>

Q: Find the distance from the point (4, 9) to the line y = 2x.

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Q: Find the distance between the points (4, -2) and (-1, 10).

A: We have to find the distance between the points: 4, -2 and -1, 10. We know that if we have two…

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 distance between the two points (-5, 4) and (3, 8).

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

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Q: Find x²z ds, where C is the line segment from (0,6,4) to (1,3,-2) C

A: ∫C y ds,  C: x=t2, y=t,  -2≤t≤3   dxdt = 2t,   dydt= 1∫Cy ds = ∫-23 t  (2t)2+1 dt=∫-23 t  4t2+1…

Q: Find the distance between the points (3, 0) and (-1, -2).

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Q: Find the distance between points A(1,1,0) and B(1,0,1)?

A: A1, 1, 0 & B1, 0, 1.

Q: distance

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Q: Find the distance between the pair of points. (3, -7) and (7, -1)

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Q: Find two numbers y such that the distance from ( - 3, 2) to (5, y) is 10.

A: To find: The value of y. Given: The distance between the two points -3,2 and 5,y is 10. Concept…

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.