Find the line that passes through the point P(1,2) and the point of intersection of two the lines L¡: x +2y = 3 and L2: 2x - 3y = -1.

Q: Find the equation of the line that passes through the point (-2,1,1) and that is parallel to the…

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Q: B. Find the point on the line y = 3x that is closest to the point (50, 0).

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Q: Find the point on the line x/a + y/b =1  that is closest to the origin. Be sure to enter it as an…

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

A: Solution is done in step 2

Q: Find the line L, that passes through the point P(1,2) and parallel to the line L2: x+2y=3.

A: Given data is: The equation of the line L2: x+2y=3 To find the equation of the line L1 that passes…

Q: Find the equation of the line through point (2, 1/2, -3) and is perpendicular to the plane -x+4y+3z…

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Q: Find the equation of the line containing the point (6, 1) and perpendicular to the line y=-5x+2. O…

A: Solve by slope form of line

Q: Find the point of intersection of the lines with the given equations. 6x + 4y = −10   and   6x + 9y…

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Q: Prove that the equation 2x²+3xy-2y²-x+3y-1=0 represent the pair of perpendicular line

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Q: Find the equation of the line parallel to 8x +4y = 1 passing through the point (0, 1). %3D

A: Given equation is 8x+4y=1 We have to find the equation of line parallel to 8x+4y=1 passing through…

Q: Find the equation of the line containing the point (6, 1) and perpendicular to the line y =-5x+2. 1…

A: Answer is mentioned below

Q: Find the point of intersection of the lines x = t, y = -t + 2, z = t + 1, and x = 2s + 2, y = s + 3,…

A: Answer

Q: The temperature of a rectangular plate bounded by the lines x = ±1, y = ±1, is given by T = 2x2 −…

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Q: Find an equation of the line L. Lis perpendicular to y = - 2x. y = - 2x 8 (-3,6) L -8

A: Topic = Coordinate geometry

Q: Find an equation of the line L.   L is perpendicular to y=3x through point (2,6)

A: Compare y=3x with y=mx+bSo, m=3Slope=3

Q: Consider the two lines L1: x=−2t,  y=1+2t,  z=3t and L2:  x=−9+5s,  y=3+2s,  z=1+5s Find the point…

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Q: find an equation of a line that passes through the point (-1,8) and is parralel to 3x+4(y-1)=3 and…

A: Line 1 is given as,

Q: Find the equation of the line that intersects the lines 2x + y – 1= 0 = x – 2y + 3z 3x – y + z + 2 =…

A: We have to find the equation of the line that intersects the given lines and parallel to the line…

Q: Find the point of intersection of the lines x = t, y = -t + 2, z = t + 1, and x 2s + 2, y = s + 3, z…

A: we have to find the point of intersection of the given lines

Q: Find the equation of the line passing through the point  (2, 3) and  perpendicular to the line 2y =…

A: Given, a line passing through the point (2, 3) and perpendicular to the line 2y = 6 – 3x.First…

Q: Find the equation of the line passing through the point (7, 2) and perpendicular to the line 5y = 9…

A: If two lines are perpendicular then product of their slopes is equal to -1 Now, slope of line…

Q: Find an equation of the line passing through the point (2,1) that is perpendicular to the line…

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Q: Find the line LI passes through the point (-2,2) and perpendicular to the line L2: 2x +y-4.

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Q: Prove that the equation 2x2+3xy-2y2-x+3y-1=0 represent the pair of perpendicular lines

A: To Prove that the equation 2x2+3xy-2y2-x+3y-1=0 represent the pair of perpendicular lines

Q: Find the equation of the line containing the point (3, 4) and parallel to the line 2x+ y=-3. 11 A. y…

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Q: Find the line L passes through the point (-2.2) and perpendicular to the line L': 2r+y 4.

A: Given : The line L passes through the point -2,2

Q: Find an equation of the line perpendicular to 3x - 2y = 7that contains the point 11, 52.

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Q: Find the equation of a line perpendicular to y=−x−1 that contains the point (1,2).

A: We have to find the equation

Q: Consider the two lines L1: x =-2t, y = 1+ 2t, z = 3t and L2: x =-9+5s, y = 5s, z = 4+ 2s Find the…

A: As the lines intersect thus their components are equal thus equate the components of the lines L1…

Q: Find the point of intersection of the lines x + 2y = 8 and 3x — y = 3

A: You use one equation to express one of the variables in terms of the other. Then you substitute that…

Q: 2. Find the line L passes through the point (-2,2) a L:2x+y=4.

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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: find the line that is perpendicular to 4x-7y=10 and goes to through the point (-1,2)

A: Let y be the required line.Given that, the line that is perpendicular to 4x − 7y = 10.Write 4x − 7y…

Q: Find the point on the line y = 3x + 2 that is closest to the origin. (х, у) %3D

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Q: Find an equation for the line with the given properties. Parallel to the line 3x + 2y = 17;…

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

A: Given, The line L passes through the point -2, 2 and perpendicular to the line 2x+y = 4    We have…

Q: Find equations of a line perpendicular to the lines x = y = z and x = 2y = 3z, passing through the…

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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: Find the line that passes through the point P(1.2) and the point of intersection of two lines x +2y…

A: Find the equation of a line that passes through the point P(1,2) and the point of intersection of…

Q: Consider the two lines  L1 : x=-2t, y=1+2t, z=3t L2 : x=-8+4s, y=1+4s, z=5+s Find the point of…

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Q: Find the equation of the line L2, pass through the point (2,-1) that is parallel to the line L1…

A: The line L2 pass through the point 2,-1 that is parallel to the line L1: 2x+4y=12

Q: Find the point of intersection between the two lines: L:x 3t + 1, y = 2t - 1, z = t + 4 and L: 1 x-7…

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Q: Choose the equation of the horizontal line that passes through the point (2, 3). x = 2 Ox= 3 Oy= 2…

A: The horizontal line passing through the point (2, 3) The horizontal line has the equation y = b if…

Q: 45. Parallel to -3x + 4y = 12, passing through (-4, – 6)

A: The line is parallel to -3x+4y=12, passing through -4,-6

Q: Find the foot of the perpendicular drawn from (4,1) upon the straight line 3x – 4y + 12 = 0 -

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Q: Find the equation of the line perpendicular to the line x - 7y + 5 = 0 and having x- in

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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: Determine the value of A so that the line whose equation is Ax+y−7=0 is perpendicular to the line…

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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.