Find r so that the line through (2,6) and (-4,r) a).parallel to 2x-3y=4 b). Pendicular to x+2y=1

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

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

A: To find the point on the line y = b  that subtend the greatest angle on the line segment from (0, 0)…

Q: In the accompanying diagram, trans- versal RS intersects parallel lines +> XY and WZ at E and H,…

A: Given: RS is transversal line that means it intersects two parallel lines (XY and WZ). Therefore…

Q: -) that passes through (-1,3) that is parallel to 2x – 5y = 1

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Q: Show that the product of the perpendicular distances from the origin to the pair of lel la-b) + 4h?…

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Q: Which of the following lines is perpendicular to the line   y  =  1/2x + 1   and contains the…

A: Consider the given line y=12x+1                                … 1

Q: 7. Three teammates from a local soccer club are practicing passing in triangular pattern as shown in…

A: It is given that three players AB and C are playing in such a manner to form right angle triangle…

Q: Find angle = [0,] between the lines z = 2 + 3t, y=4-t, z=3+2t and x=1-8,y=5+28, z=6+38. Lütfen…

A: The angle between the lines x=2+3t,y=4-t,z=3+2t and x=1-s,y=5+2s,z=6+3s is to be determined.

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: What value of x would prove that lines /and mare parallel? (8x-31) (5y+35) (6x+3) 217 O 28 014

A: Given, l||mTo find: magnitude of x

Q: 9) 7x+4 60° 1.

A: The figure is given by To evaluate: The value of x

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

A: Given point is P(2,1) and the line is given as y=x+2 1x-1y+2=0 The formula to find the distance…

Q: The diagonals of rhombus TEAM intersect at P(2,1). If the equation of the line that contains…

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Q: Find the value of a that makes lines u and v parallel. 70° 14+12x v 10

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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 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 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: 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: Determine if the following lines are parallel (never intersect), perpendicular (int intersecting…

A: Given: - The equation of the lines, y=-x+11,2y=-2x+22 To determine: - The given lines are parallel,…

Q: Find the angle between the line given by ⟨x, y, z⟩ = ⟨2t, 3t, t⟩ and the y-axis exactly.

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Q: Two straight lines 3x – 2 y + 5 = 0 and 6x – 4y + 10 = 0 intersect at the origin. are coincident.…

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

A: To find the distance from point D to line l.

Q: Find the value of a that makes lines u and v parallel. 130° x+ 135 y O 5

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Q: find the distance between the Linel L) through A(I,0,-1), B (-1,)andthe Line (L2) through C…

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Q: What value of K will make the lines 2x + 3y -2= 0 and -6x + Ky= 3 perpendicular? Parallel?

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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: The diagonals of rhombus LMAO intersect at P(4, 11). If the equation of the line contains diagonal…

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Q: Suppose a line that appears parallel to side BC of ΔABC intersects sides AB and AC at points C and Y…

A: Suppose a line that appears parallel to side BC of ΔABC intersects sides AB and AC at points X and Y…

Q: 9. Are the lines parallel, perpendicular or neither. Show work. 4. y3-x+2 3 3x+4y = 4 %3D

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Q: Evaluate ryz ds, where C is the line segment from (3, 0, 1) to (0, 2, 5).

A: Given function is ∫Cxyz ds Given points are r1=3,0,1 and r2=0,2,5 We can write the given points in…

Q: Find the value of z that makes lines u and v parallel. 85° 12x+ 1

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Q: 258. Are the lines of equations and x = −2+2t, y=-6, z = 2 + 6t x= -1 +t, y = 1+t, z=t, t€ R,…

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Q: Find the distance between the two straight lines and x=1+1, y=2, z= −1+2+ x=2-t, y=3t4t, z=2t at the…

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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: Consider the points P(-4, 1, 0, 3), Q(0, 3, 1, -4), R(-2, 1, 5, 0). RS PQ is parallel to Find the…

A: Given:- P=(-4,1,0,3) ,Q=(0,3,1,-4) and R=(-2,1,5,0) To find the point S in R4 whose third component…

Q: D F OF and GI are parallel lines and mZDEH = 116°, %3D Submit

A: DF and GI are parallel line,

Q: Find the length of the line segment described by, (x,y,z)=(1,2,1) +t(-1,5,4)), where 0<t<5.

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Q: The lines joining the origin to the point of intersection of the line lx+my=1 and y²=4ax are at…

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Q: Construct perpendicular lines from point P to line m. 1. VE

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: ez ds where C is the line segment from (0, 6,-1) to (4, , 5). Compute

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Q: Suppose a line that appears parallel to side BC of △ABC intersects sides AB and AC at points X and Y…

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Q: what is the geometric plàce of points multiplication two given whose of their distance to the lines…

A: Let the line be L1 and L2 having points (x1 ,y1 ) and (x2 ,y2 ) and locus of the geometric place of…

Q: Find Sax ds, where C is the line segment in the plane joining (0,0) and (3, 4).

A: I am attaching image so that you understand each and every step.

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

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Q: 4:x 3+6r, y =-2+9t,: =1-12t and L:x=-1+4t, y 3+6,-8r

A: We are given L1: x=3+6t, y=-2+9t, z=1-12t. So, L1: x-36=y+29=z-1-12. Thus, a1=6, b1=9, c1=-12. We…

Q: Show that the product of the perpendicular distances from the origin to the pair of straight lines…

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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.