6. Find the distance between the two points P(1,0,2) and Q(4,4,–10). (а) 13 (с) 26 (b) 5 (d) none of the choices

Q: (1) What is the relationship etween lines 11 and 12? where L:x = 2, y = 1+ 2t, z = 1+t L2:x = 4 -t,…

A:

Q: Compute ye*ds where Cis the line segment from (1,2) to (4,7). .A 16 34 e4

A: According to the given information, it is required to calculate the value of integral.

Q: Let I be the line (1, -1, 1) + t(0, 2, 1). Let Q = (1,0, 1). Find the distance from Q to l. distance

A:

Q: 37. What is the distance between the points P(3, 5, -2) and Q(2, 3. 0) in space? 2 3

A:

Q: What is the horizontal distance of Lil's 1) landing zone from the plane? 2) What is the horizontal…

A:

Q: Compute ye" ds where C is the line segment from (1, 2) to (4, 7).

A: We have to compute ∫Cyexds where C is the line segment from 1,2 to 4,7. We have, x-14-1=y-27-2=t

Q: 2. Evaluate S. 3x – 6y ds for C is the line segment from (6,0) to (6,6).

A: Solution

Q: A________ is the set of points P in the plane such that the ratio of the distance from a fixed point…

A: The conic section is known as the set of points, in which the curve of any of the conic, that are,…

Q: Find the distance from point P(1,1,1) to the pl r +y +z = 1

A: We have to solve

Q: Let / be the line (1,-1, 1) + t(0, 2, 1). Let Q = (1,0, 1). Find the distance from Q to l. perp PQ…

A: We have to find the perpendicular distance between point Q and line l. Point Q is 1, 0, 1 and line l…

Q: 1. Find the distance between the points P = (-1,3) and Q = (4, -2). Find the midpoint of the line…

A: Consider two points Px1, y1 & Qx2, y2 Then, the distance between the points PQ is given by:…

Q: 5. Find the bisectors of the angles between the lines, 2x-y 1 and 11x +2y= 5.

A: Given, lines, 2x-y=1,  11x+2y=5 now find angle bisectors between lines we know the formula of…

Q: 2. Evaluate . 3x – 6y ds for C is the line segment from (6,0) to (6,6).

A: Let C be a piecewise smooth curve defined by, Let P and Q be two continuous functions of x and y…

Q: 2- The distance between p, (2, 1, 5) and p2 (-2, 3,0) is

A: Given two points        p1 2,1,5 and p2 -2,3,0

Q: What is the distance between points P (-3, 5) and S (6, 9) ? O 4 uni O Y Uds O v97m O 13 urits

A:

Q: Let l be the line (1, –1,1) + t(0, 2, 1). Let Q = (1,0, 1). Find the distance from Q to l. %3D…

A: Given the line equation l is 1,-1,1+t0,2,1 and the point is Q=1,0,1. Find the distance from Q to l.

Q: 5. Compute the distance between these pairs of points: (a) (-2, 5) and (4, 13) (b) (3,-4) and (8, 8)

A:

Q: 2. Draw a line that is perpendicular to segment XY with point A, not on the segment A.

A: Solution

Q: Let C be the line segment connecting the points P(−2,1,−4) and Q(5,−4,3). Evaluate ∫C(2x+4z)dy…

A:

Q: Let I be the line (1, -1,1) + t(0, 2, 1). Let Q = (1,0, 1). Find the distance from Q to l. %3D

A: Given line is                                                       l:1, -1, 1+t0, 2, 1 vector…

Q: 6 of 19 Write the equation of a circle with centre (-8,-3) which is tangent to the x-axis. O (x –…

A: A detailed solution is given below

Q: 2. What is the distance between the points M(-8,11) and N(3,7)? 19.4 11.7 10.2 18.7

A: Given points are M(-8,11) and N (3,7).

Q: Consider the points P(2, −1, 0), Q(5, 0, 0), and R(3, 1,√5). Find the coordinates of the point S on…

A:

Q: 6- Find the distance from the Point AC,2,1) to the line joining the too Points B Co,5,2), C(3,2,7)

A: fghk

Q: 51. Show that the shortest distance from the point (x1, yı) to the straight line Ax + By + C=0 is Ax…

A:

Q: The distance between the points (3, 6) and (x, 5) is 7. What is/are the coordinate(s) ofx?

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: Find the shortest distance between the point Q(2, 0, 0) and the line segment joining the points…

A: Formula used: Distance between the point and a line is, D=PQ×uu Where u=P2-P1

Q: 1. Find the distance between the points P = ( - 1, 3) andQ = (4, - 2). Find the midpoint of the line…

A: Given :  P = ( - 1, 3) and Q = (4, - 2) we have to find the distance between the points also find…

Q: Let P(6, – 2, 2) and Q(0, 0, 0) be two points in R³. Find the distance between P and Q. - PQ

A:

Q: Family OF lines parring through (0, -4)

A: Given that family of lines passing through (0,-4). To find differential equation based on above…

Q: The area bounded by the curve y=4x y=4x  and the lines x=6x=6 ,x=10x=10 and x−axisx−axis is: Choose…

A:

Q: Find the distance from the point (1,1,5) to the line X=1+t, Y=3-t, Z=2t. O (5)^0.5 O 7 O 2(3)^0.5 O…

A: Given: Equation of line is: X = 1+ t Y = 3 - t Z = 2t To find: distance from the point (1, 1, 5) to…

Q: Compute x2z ds where Cis the line segment from (0,6,-1) to (4,1,5). 7 6 .A O 56 .B O 16/77 .c O 56 3…

A:

Q: Find the distance between the plances 3x +y-4z = 2 and 3x+ y- 4z = 24

A: Find the distance between the planes   3x+y-4z=2    and    3x+y-4z=24

Q: Suppose L, is the line through the origin in the direction of u and L2 is the line through the point…

A: We are given two lines L1 and L2 in 3d, and we have to find the closest points x1 , x2 such that the…

Q: Find the value(s) of x such that the distance between the points is 5. (2, -1), (x, 2)

A: Distance between the points 2,1, x,2 is 5. use distance formula:    Distance between the points…

Q: The distance between the points P(0, 0,4) and Q(7,6, 8) is V102 Select one: True False

A: According to question,Given points,P0, 0, 4 and Q7, 6, 8

Q: Let y = [3] and u = [2] to the line through u and the origin. Compute the distance from y

A:

Q: 2- The distance d from the point R=(1,4,-3) to the line L: x=2+t,y%3-1-t Z- 3t is 4.43 False True

A:

Q: 2) 2 4-2

A:

Q: 10. In the standard (x, y) coordinate plane, line r contains the points (6, 5) and (b,-5), and line…

A: Given problem is :

Q: Find the distance between the skew lines i(t) = (3, 0, – 2)t + (7, 9, 0) and p(s) = (4, – 4, – 5)s +…

A: We have to find the distance between skew lines.

Q: Compute x2z ds where Cis the line segment from (0,6,-1) to (4,1,5). 7 6 .A O 56 77.B 16/77 .c O 56 3…

A: The line segment is from 4,1,5 to 0,6,-1 . Hence, this line is parallel to the vector, 4,1,5-0,6,-1…

Q: Find the distance between the plances 3x + y- 4z = 2 and 3x + y - 4z = 24

A:

Q: Consider the points P=(20,n,21) and Q=(10,0,10). n < 0 y ||PQ|| = V230 %3D If it holds that then it…

A: The points P=20, n, 21 and Q=10, 0, 10Where, n&lt;0If PQ→=230Then to find the true statement about…

Q: Find the distance between the points (p, q) and (0,0)

A:

Q: The area bounded by the curve y = 10z and the lines z = 9,7 = 11 and a – azis is O 1010 square units…

A:

Q: . Let P(2, –3, 6) and P2(2,2, -4). Find the coordinates of the point P on the line segment with PP =…

A: Given Data: The coordinates of point P1 is: P1x1, y1, z1=P12 -3, 6 The coordinates of point P2 is:…

Q: 13. Determine the distance between the following lines. [x, y, z]= [4,5,9]+s[-3,4,-9] and [x, y, z]=…

A: Above question is solved.

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.