Show that the following sets of points are collinear and find the equation of the line L containing them. (i) (-5, 1).(5, 5).(10, 7) (ii) (1, 3). (-2,-6),(2, 6)

Q: Find the distance from the point (3,-1, 4) to the line z -2+3t, y = -2t, z = 1+ 4t.

A:

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: e 5y=-6x +

A: we have to find the equation of line that is perpendicular to the line 5y=-6x + 2.

Q: Find the shortest distance from the point x = (-3, 0, -12)  to the line r = t(0, -2, -2).

A:

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 an equation of the line that satisfies the given conditions. Through  (1, −1);   parallel to…

A:

Q: 4. Find the equation of the locus of the points P(x, y) whose distances from the point (3,2) are…

A:

Q: Show that the following sets of points are collinear and find the equation of the line L containing…

A: a) Determine weather the points are collinear or not. For points to be collinear A=-5510157111…

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

A: y=1;(2,6)

Q: Which of the following lines passes through the point (3, –7) and is perpendicular to the line whose…

A:

Q: Find a plane containing the point (6, -4,-3) and the line (t) = +t 270

A:

Q: Which of the following coordinates exists on the line y = 3x+ 1? А. (2, 6) В. (-1, -2) С. (3,4) D.…

A: Solution is B) (-1,-2)

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

A: Given : Point A ( -3,1,5) x = 5+t  y=1-2t  z=3-t

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: . Which of the following lines passes through the point (2, 5)? y = 2z – 1 y = 2z +1 y = 4z -2 y =…

A:

Q: If the lines joining origin to the points of intersection of the line fx - gy = 2 and the curve x²…

A: Though it is analytical geometry problem but it is a B.SC problem, more than high secondary…

Q: find the distance from the point to the line. (3, -1, 4); x = 4 - t, y = 3 + 2t, z = -5 + 3t

A: Given Data The points is 3,-1,4. x=4-t. y=3+2t. z=-5+3t.   The line is passes through the points of…

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

A:

Q: Find the midpoint of points A(-9,7) and B(1, 10) graphically.

A: We will use section formula to find solution to the problem .

Q: Find an equation for the line L that contains the point the point P = (−2, 4, 1) and is orthogonal…

A:

Q: Consider the line which passes through the point P(5, -5, 5), and which is parallel to the line x =…

A: The direction vector of the line  given by:        x=1+4ty=2+1tz=3+3t is :    r→=123+t413 So, The…

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

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

A:

Q: Show that the following sets of points are collinear and find the equation of the line L containing…

A: \

Q: Show that the following sets of points are collinear and find the equation of the line L containing…

A:

Q: Find the distance between the point (−3, 1) and the line 4x + 3y + 4 = 0.

A: Given standard equation of line 4x+3y+4=0 and a point (-3,1)

Q: Find a plane containing the point (-3,3,-3) and the line F(t) = +t

A:

Q: Let I, be the line described by the Cartesian equations • x= 1 • y-9 = 2(z-7) Let l, be the line…

A:

Q: find the distance from A(4, 6, -3) to the line x = 3t + 1, y = -t + 3, z = 6t

A:

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

A:

Q: Find equations of the lines that pass through the point (0, 4) and are (a) parallel toand (b)…

A: Given,         The equations of the lines that pass through the point 0,4 and the line 5x+2y=3.

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

A:

Q: Find the distance of the point (4, 2, -4) from the line r(t) = (1+2t, 1+ 2t, 7 - 3t).

A:

Q: Find the midpoint of points A(-9, 7) and B(1, 10) graphically. Plot the line segment AB by clicking…

A:

Q: find equation for the line threugh (el) and farullel to z-axis. Q3 :

A: To determine: The equation of the line passing through the point (1,1,1) and parallel to the z-axis.…

Q: [a] Find the shortest distance from the point (2, -1, 4) to the straight line x = 2, y = 3+tand z =…

A:

Q: Find the relation between x and y such that the point (x,y) is equidistant from the points (7,1) and…

A:

Q: Find a relationship between x and y such that (x, y) is equidistant (the same distance) from the two…

A: If the distance from (x,y) to the points (3,2) & (5,-1) are equal, then the squared distance is…

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

A:

Q: Find xz ds, where C is the line segment from (0,-2,4) to (0,-6,1).

A:

Q: Show that the following sets of points are collinear and find the equation of the line L containing…

A:

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 x- and y-coordinates of the labeled point. Ay 10- The coordinates of A are 8- (Type an…

A: The labeled point lies on the x- axis . So its y-coordinates is zero .

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 the locus of the points that are equidistant to the point F (0,2) and the line y=-2

A: Use distant formula..

Q: Show that the equation of the line in R' through distinct points (1, Y1) and (x2, Y2) can be written…

A: We have to show that the equation of the line in R2 through distinct points x1,y1 and x2,y2 can be…

Q: parallel to the line 2x+3y+4=0

A: Equation of line passing through point and with slope m . (y-y1)=m(x-x1)  if two lines are parallel…