7. A line connecting coordinates ( x, 7) and ( 10, y) is bisected at ( 8,2). Find the equation of the line?

Q: write down the equation of the pair of straight lines joining the origin to the points of…

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Q: A line passing through (0, –3) and is perpendicular to y =;x – 4. х —

A: The given line passing through the point 0,-3 and it perpendicular to the line y=52x-4. Calculation:…

Q: Find the distance from the point s(1,-6,2)to the line x = 2 + 3t, y = -4 + t,z = –2t Ans >>d=1.79

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Q: (B.) Determined by the intersecting lines L1 and L2 L1 : {x = 2t, y= 4- t, z = 3 +t}and L2:{x = 2 +…

A: According to guidelines we solve one question. thanku.

Q: calculate the distance between point(5,2) and the line, 2x+5y=10

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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: Suppose there is a straight line from z1 = 0 to z2 = 2 + 4i You know that the equation of a straight…

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Q: Suppose the symmetric equations of lines l1 and l2 are = 2 – y = z and x = -1, 2 3 espectively.

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Q: 2. Find the equation of the line that is perpendicular to 6x – 4y = 8, which passes through the…

A: Use equation of perpendicular line

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

A: for finding distance of the point3,2,-4 from line rt=1+3t, -1+2t, 3-3t we assume a point1+3t, -1+2t,…

Q: 8 What is the slope of the line perpendicular to tne line represented by the equation 2x+4y = 12?…

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Q: Find the equation of the line through point (3,7,-11) y is perpendicular to the xz-plane

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Q: 4:x=1+21, y =-2+t, z=4-t 1, :x = 5–3s, y= 4- z = 2+

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Q: Find the distance of the point (2, 2, –5) from the line r(t) = (1+4t, –1+ 4t,7 – 3t) %3D swer:

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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: Find distance from the point (0, 1, 3) to the line = 2t, y = 6–2t, z = 3+t

A: (0,1,3)    L=x=2t, y=6-2t, z=3+t

Q: Find the equation of the line in standard form (i.e., y = mx + b) that conatins the point (-3,5) and…

A: We have to find the equation of line in standard form if it is passing through the point -3, 5 and…

Q: What is an equation of the line that passes through the point (–6, –6) and is paralle to the line x…

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Q: 2*Find an equation of the line that satisfies the given conditions. Through  (−5, 5);…

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

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Q: If the line joining the two points (5,4)(5,4) and (3,−k)(3,−k) is parallel to the line kx−9y+11=0…

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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: If line r has the equation y = - 2 what is the equation of line r given that line rwas dilated by a…

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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: 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 from the point (1, 5, 5) to the line x = 0, y = 5 + t, z = 5 + 5t.

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Q: What is the value of such that the lines 3kx + 8y = 5 and 6y - 4kx = -1 are perpendicular and 3kx +…

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Q: Find the equation of line L through the point (5, 7/2, 5) intersecting at right angle the line M…

A: Given that, the line L is passing through the point 5,72,5 intersecting at right angle the line M…

Q: Please help!

A: Let the slope of required line is m and slope of line joining (-1,-2) and (5,3) is m1 which can be…

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: 17. What is the equation of the line that passes through (-5, 0) and (4, 3)? 5. y--5 Oy 3x+15…

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Q: 2)What line is perpendicular to 2x + y = 3 at (1,1)?

A: What line is perpendicular to 2x+y=3 at (1,1)?

Q: 12. For the two non-parallel straight lines L:2x- 5y+ 21 = 0 and L: 3x+y+6 = 0, find the coordinates…

A: Consider the following: Line-1:  2x−5y+21=0Line-2:     3x+y+6=0 At intersection point: L1=L2…

Q: What is the distance from the point S(-2, 3, -2) to the line of intersection of the planes 2x + 3y +…

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Q: Find distance between two lines x = 1 + t, y = 1 + 6t, z = 2t and x = 1 + 2s, y = 5 + 15s, z = -2 +…

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Q: What is the distance between the line with Cartesian equation x-4=y-4=z and the line with Cartesian…

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Q: 7. Given that M4,6) is the mid-point of the line segment joining C(2, -3) and D, find the…

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: Find the distance from the point (3, 1,0) to the line given by symmetric equations *** =-3, y= 1.

A: Given that: The point is: (3, -1, 0) and equation of line is:         x+42=z-3, y=1

Q: If the point (4, 1) is the midpoint of the line PD , where P (x, 3),  D (7, y)   ,  find the value…

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Q: 7 ) Find the equation of line L through the point 5,,5 intersecting at right angle the 2 line M with…

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Q: What is the point at which the lines x = 3 - t, y = 2 + t, z = 5t intersects with x - y + 2z = 9 ? О…

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Q: how to find equation of a tagent line y=x^4 +2e^x  at (0,2)

A: In the question we have to find the tangent at point (0,2)

Q: Suppose that L is a line through the points (a, 2, c) and (3, –4, 2) that is parallel to one of the…

A: Given that: L is a line passing through (a,2,c) and (3, -4, 2) and parallel to one of the axes.

Q: standard form of the line with center (5,1) and tangent to the line 7x+2y=17

A: Given Data: Center: (x1, y1) = (5, 1) Tangent: 7x+2y=17   The general equation of tangent is,…

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: Is it true or false that the equation the distance from the point A(1,2, 6) to the line x + y + 2z =…

A: The line is l:l:x+y+2z=62x-y+z=9 and the point is 1,2,6

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

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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.