6. Find the distance between the two points P(1,0, 3) and Q(4, 4,-10). (a) 13 (c) 26 (b) 5 (d) none of the choices

Q: What is the families of the curve of all straight lines through the fixed point (h,k).

A: The differential equation representing the families of curve of all straight lines through the fixed…

Q: What is the midpoint line segment AB defined by the points A: (2, -3) and B: (-1, 0). O a3 O (0,-2)…

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: 6. Find the symmetric equation of the line parallel to ở = (1,4, 6) + t(−2, 4, 7) that intersects…

A: Given problem:- 6. Find the symmetric equation of the line parallel to r = (1,4,6) + t(−2, 4, 7)…

Q: 18. y=-2rt+ 3r

A:

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

A:

Q: How do I do this?

A:

Q: 5 1 1 4 Find the distance between the pair of points and 2'3 - - 2'3

A:

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: 3) What is the distance between points (0, -1) and (10, -5)?

A:

Q: Show that the locus of the point whose distance from y-axis is thrice it's distance from (1,2,-1) is…

A: The equation of the ellipse is 8x2+9y2+8z2+18x-36y+18z+54=0 The locus of the point whose distance…

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: B. Find the distance between the point (1. 1.3) and the line =z-3) OMI NOTL

A:

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

A:

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:

A:

Q: Find the distance between the points P(, 6,7) and Q(, 1,, 5)

A:

Q: Suppose that P is twice as far from (0, 0) as P is from (6, 0 Find such a point on the x-axis.

A: Let A0,0 and B6,0. It is given that P is twice as far from A0,0 as from B6,0. We know that if point…

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

A: For first line L1, the line passes via origin, i.e., 000 and the line is parallel to u=110, so, the…

Q: Find the distance between u = 0 - 4 and z = 3 - 3 - 1 8

A: The distance between two vectors u=a1a2a3 and v=b1b2b3 is: d=b1-a22+b2-a22+b3-a32 The distance…

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: Show that the locus of the point whose distance from Y-axis is thrice its distance from (1,2,-1 ) is…

A: First of all we will suppose an arbitrary point and then try to find its locus using the given…

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: d the eqation of the line that passes through A(1,2,1) and intersects the line x+1 у-2 z+1 %3D at…

A: Topic:- geometry

Q: Find the distance d between the points (2, 3,−1) and (4,−1, 3).

A: Given : 2,3,-1 and 4,-1,3

Q: 7. Reflect parallelogram RSTU with vertices R(-2, 3), S(2, 4), T(2,-3), U(-2,–4) in the line y = -x.…

A: Reflection in Y axis  : (x , y ) → (-x , - y )

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: 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: Find the distance d between the points (1, 3) and (5, 6).

A: Our Aim is to find the distance between the points (1,3) and (5,6).

Q: Show that the distance between the line 3x 4y + 3 = 0 and the point (1, –1) is 2. |

A: In this question, we have to prove that the distance between line and point is 2.

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: Find the shortest distance between the point Q (2, 0, 0) and the line determined by the points P1(0,…

A: Find the shortest distance between the point Q (2, 0, 0) and the line determined by the points P1(0,…

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

A:

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

A:

Q: Find the shortest distance from the origin to the line of intersection of the planes 2x + y − z = 1…

A: Given: The planes: 2x+y-z=1 and x-y+z=2.

Q: 4. Find the line(s) containing the point (–1,4) and lying at a distance of 5 from the point (6,3).

A: (Note: We are entitled to solve only one question at a time) To Find: The lines containing the point…

Q: 1. Find the distance from the point to the given line by using the distance theorem…

A: Suppose the line l is Ax+By+C=0 and any point is P0x0, y0. Then the distance from the point P0 to…

Q: What is the distance between the following points? 4- 17 -8-

A:

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

A:

Q: Find the distance in between the point P(0, 2, – 1) and the point Q(0, 1, 2).

A: we have to find distance between the points P and Q Given Points : P(0,2,-1) and Q(0,1,2)

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 locus of the point whose distance from Y-axis is thrice it's distance from (1,2,-1) is…

A:

Q: Find the distance between points A(1,1,0) and B(1,0,1)?

A: A1, 1, 0 &amp; B1, 0, 1.

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.