Second question: Let us have the line whose equation is L: X / 5 + 5 = y + 1 = z - 5 (1) Find the points of intersection of the line L with the coordinate planes (XY, XZ, YZ). (2) Find the distance from the origin to the line L

Q: Lines t and w are parallel in the xy-plane. The equation of line t is 4x + 7y = 14, and line w…

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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: Find the lines-x and Y.iutercep+s and use thing i Kormation to graph rhe line 1- 3X +4Y- 12 2-1.5 X…

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Q: The distance between the line x - y + 3 = 0 and the line y = x + 2 is

A: The given two lines are x-y+3=0  and y=x+2. The equation of second line can be written as x-y+2=0.…

Q: Let us have the straight line whose equation is L: x- 2 = y -1 =--2 ( XY, XZ , YZ ) » Find the point…

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Q: 22 The line y = 2-2x cuts the curve 3x² - y² = 3 at the points A and B. Find the length of the line…

A: Straight line and hyperbola intersect at two points.

Q: Perpendicular to the line y=−1/2x+1 containing the point (3,6)

A: Solution is done in step 2

Q: d. The curve y= In x , y-axis, the lines y 0 and y 4.

A: Given, We have to find area of region bounded by  y = lnx ; y axis ; y =0 and y = 4.

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: The line perpendicular to y=x+5, passing through the point (3, 2).

A: You know that if you multiply slopes of two perpendicular lines you will get -1. m1 x m2 = -1

Q: Find the coordinates of the intersection points A and B, between the closed curve (x + 1)² + 4(y-1)²…

A: In this question, we can find the intersection points of the given curve. Using the equation of…

Q: 3) Determine the point of intersection between Line L: ( (x+1)/6)= ( (3-y)/-1)= ((z-4)/-2) and i…

A: Given, Equation of line is x+16=3-y-1=z-4-2.Equation of plane is x+2y-z+29=0. The intersection point…

Q: Line l1 has equation 5x – 2y = 7. Line l2 is perpendicular to lı and passes through the point (3,…

A: line l1 5x-2y=72y=5x-7y=52x-72   slope of line compare with y=mx+c m1=52

Q: Consider the relation between r and y defined by the equation r4/3+y4/3 = 10. Find the r-intercept…

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Q: Let us have the line whose equation is L: x+ 2 = y +3 = -2 (1) Find the points of intersection of…

A: Given equation is: x + 2 = y + 3 = -2 Then the equation of the line is: x - y = 3 - 2 x - y = 1…

Q: Let A be the point with coordinates (-3, 2, -1) and let B be the point with coordinates (2, 0, 0).…

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Q: Find the distance between the point Q(3, −1, 4) and the line x = −2 + 3t, y = −2t, and z = 1 + 4t

A: To find the distance between the point Q(3, −1, 4) and the line x = −2 + 3t, y = −2t, and z = 1 +…

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: 2. Find the line L passes through the point (-2,2) and perpendicular to the line L: 2x+y= 4.

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Q: Which of r = 2 sec θ and r = 2 csc θ defines a horizontal line?

A: we have to tell which of r = 2 sec θ and r = 2 csc θ defines a horizontal line.

Q: We have the line whose equation is L: x+ 2 = y+ 3 = 1- Find the points of the line L with the…

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

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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: 2. Consider the line y = 2x + 1. (a) Find two points on the line (x, y) = (0, ) and (x, y) = (1, )…

A: Since, you have asked multiple questions, hence we will solve the first question for you. If you…

Q: Find the equation of the line of intersection of r +y+z = 0 and 2x – 3y + z = 0. Note: (0,0,0) is a…

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

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

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Q: 253. Find the distance between point A(-3, 1, 1) and the line of symmetric equations x=-y=-z.

A: Let B(a,b,c) be a point on a given line with direction vector v⇀=(x,y,z). Then distance of  a point…

Q: Let A be the point with coordinates (-2, -1, -1) and let B be the point with coordinates (2, 0, 0).…

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Q: 4. Determine the Cartesian equation of the line that... a) is perpendicular to x=2+t, y=-3 + 2t and…

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Q: b) Find the intersection point of the line Lix-1.y-3+t, z4+2t with xz-plane.

A: Here we have given equation of line and we have to find the point of intersection of given line with…

Q: The coordinates of a point on the line x+ y+1 = 0 which is at a distance /2 units from the line 3x +…

A: Given: The line x+y+1=0 which is at a distance 2 units from the line 3x+4y-2=0 To find: Coordinates…

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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Q: Determine where the line y=6x +3 cuts y-axis A (-1,0) (-2,0) (+1,0) (-3,0) В (0,0) (0,–1) (0, +1) C…

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Q: (a) x = 2+ (y – 2)², x = 3; about the x – axis. (b) y = Vx, = 2y; about the line x = 5.

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

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Q: a. The curve y=4x-x and the lines y=0, x=1 and x=3.

A: Due to our guidelines we can answer only one question at a time, therefore I am answering first…

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

A: Given two lines, x=2-t, y=3+3t, z=4+3tAnd x=5t, y=1-15t, z=4-15tThat isx-2-1=y-33=z-43=t…

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: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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Q: Let us have the straight line whose equation is L: +2 = y-3 = z+2 (1) Find the points of…

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Q: Q2) find the distance between two lines L1: x= 1 +4t, y=5 - 4t, z=-1+5t L2: x=2 + 8t, y=4 - 3t, z-5…

A: Method 1:

Q: 2 - y 3. Consider the lines defined by the equations &3 : x – 1= 3 – z and l4(s) = (1 – 2s, 4s, 1 +…

A: Given problem:-

Q: 26 The pair of lines defined by the equations y = x– 11 and y =- x - 11 are 26 parallel to each…

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Q: Fidn the distance between parallel lines with equations Y=-x+2 and Y=-x+8

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Q: Q1/The line joining origin and point of inter section of the lines (x = 1 + 2t, y = -3 + 4t, z %3D =…

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Q: 1. The midpoint of points A and B is given to be (-,–1). Suppose two lines l1 and lz are…

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Q: Let us have a straight line whose equation is L: x+2 = y+3 =+3 1-Find the points of intersection of…

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Q: Two straight lines 3x - 2y + 5 = 0 and 6x - 4y + 10 = 0 A Intersects at the origin B. Are…

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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.