Q2. Find the equation of the line that passes through the point (-3,2,-1) and parallel to the line of intersect of the planes x + 2y + z = 8, and x+ y – z = 2.

Q: 2. Find the equation of the line that passes through the points of intersection of the curves y“ = x…

A: We plug x=y2 in…

Q: Q10)The two lines L1: x=3-2t, y=4+t ,z= 6-t and L2: x=5-4t, .y=-2+2t, z=7-2t are parallel

A: 10) The equation of the line x=3-2t t=x-3-2 y=4+t t=y-4 z=6-t t=z-6-1

Q: Which of the lines defined here has/have only one unique intercept.…

A: Which of the lines defined here has/have only one unique intercept.…

Q: For what values of the constants k and c does the line x- 3 ** =- lie in the plane x - y + 2z = c? O…

A: Given equation of   line  ;   x-32=y-2k=z+14plane;  x-y+2z=c key points 1)  given line lies in the…

Q: Find an equation of the line that satisfies the given conditions. Throught (2,6); perpendicular to…

A: y=1;(2,6)

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

A:

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

A:

Q: Q4-Find the Cartesian equation of the line that passes through the point (-3, 2, -1) and is parallel…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Q2/ Find the equation of the plane through the point (2, 4, 5) perpendicular to the line: X=5+t,…

A:

Q: Determine the equations of the line through P(-1,2, 1) and parallel to the line of meek section of…

A: Given P(-1,2,1) and parallel to the line of intersection of the planes 2x+y+z=2, x+2y+z=10

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: In the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5).…

A: NOTE: Refresh your page if you can't see any equations. . given points are

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: parallel

A:

Q: 2x y 3y-20 of Given two parallel lines cut by a transversal, solvefor x and y. %3|

A: The figure is given by To evaluate : The values of x and y

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

A:

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

A:

Q: 1. a) m and passes through the point (-3, 10) b) passes through points A(12, -1) and B(0, 4) c)…

A: We know the slope intercept form of line is : y=mx+b , where m is slope and b is constant. (a) Given…

Q: Q1/ Find the equation of a line passing through (1,2) orthogonal to the line passing through (2,…

A:

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

A:

Q: nded by the curve y2=4x and the lines x = 1 and x = 4.

A:

Q: 12 The lines whose equations are 2x + 3y = 4 and y = mx + 6 will be perpendicular when m is %3D 1)을…

A:

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 that passes through the point (-3,2,-1) and parallel to the line of…

A: Given equation of planes arex+2y+z = 8x+y-z = 2Firstly, determine the intersection lines of two…

Q: Find the shortest distance between the skewed lines. l1: = 1+ 2t, y = -1+t, z = 2+ 4t and l2: x= -2+…

A:

Q: The lines y = ax + b and y = bx + a are graphed in the xy-plane. If a and b are non-zero constants…

A:

Q: The distance from (-3,-4,-7) to the yz-plane is (A) -4 (B) 4 (C) -3 (D) 3 (E) 7

A: The distance(d) between two points (x1,y1,z1) and (x2,y2,z2) in a cartesian coordinate system is…

Q: The distance from (-2,-5,-6) to the yz-plane is (A) -2 (B) 2 (C) (D) -5 (E) 6

A: Use distance between two points

Q: Consider the line which passes through the point P(2 -3, -4), and which is parallel to the line x =…

A:

Q: 4. In the xy-plane, the line.determined by the points (3, a) and (a, 12) passes through the origin.…

A:

Q: Find the equation of the set of points which are equidistant from (3,10) and the x-axis `y-x -5)²+3…

A: To find the correct option

Q: Determine if the line intersects the plane. If so, state the solution. [x, y, z][-1, -9,16]++[3, 3,…

A:

Q: Determine the intersection point of the two lines or show that they do not intersect. a. Does the…

A: Please see the answer below.

Q: Consider the lines & : y 3 + -1 and 2: +t 1 Find the point of the intersection (if any) between the…

A: Given the lines l1 : xyz = 23-4 + s -2-11 and l2 : xyz = 111 + t -11-2.

Q: The line joining the origin and Pomt of of the linesr (X=1+2t,42-3+4t. y=-5+3t 2 Ction ,zet) and

A: Let the parameter of line L1 is t = t1 and the parameter of line L2 is t = t2. To find the point of…

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

A:

Q: Use slopes to verify that the graphs of the equations Ax + By = C and Bx - Ay = D are perpendicular.…

A:

Q: Q1 Find the equation of the line passes through the point (5,2) and normal to the line that has the…

A: Given: The equation of line y = 2x+4. To find: The equation of line that passes through the point…

Q: 10 X- 3y dA, where R is the parallelogram enclosed by the lines x - 3y = 0, x - 3y = 5, 8x - y = 5,…

A:

Q: Show that the lines with symmetric equations L1 : = = and L2 : 팡!%3D 부 =D 촬 %3D y-3 are skew.

A:

Q: Find a perpendicular line that passes through the given point (6,4); y 3x- 2 %3D O y = 1/3 x-6 O y =…

A:

Q: The equation of line given by the intersection of two planes with equations 3x + 2y – 11z = 30 and…

A: For the above-given equations of plane: <3,2,-11> = 30 = a <13,-12, 52> = -100 = b   a ×…

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

A:

Q: 4) Find the point in which the line through the origin perpendicular to the plan 2x - y -z = 4 meets…

A:

Q: Find equation of the line Passes through the Peint (-3,2,-1)-and parallel te the lineof intersection…

A: Given that: The given point is: (-3, 2, -1)The planes are: π1: x+2y+z=8 and π2:x+y-z=2

Q: * the lines 2x • 3y + 1 = 0 and 3x - y - 4 = 0 ke along diameters of a circle of circumference 10 n,…

A:

Q: Consider the points P(1,0,3) and Q(5, 2, -1), and the line 1: { x = -7-2t y=t z = 9+t

A:

Q: * the lines 2x • 3y + 1 = 0 and 3x - y - 4 = 0 ke along diameters of a circle of circumference 10 1,…

A: Given circumference of the circle  10π we know that circumference of the circle with radius r will…

Q: Find the equation of the line through the point P(2,-3,5) and perpendicular to the plane…

A:

Q: Find the equations of the line through (2,0, –4) and parallel to each of the planes x + y – z = 0…

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.