Line. O Find Hhe least (0,0) , (1,1) square 1egassion (2,3)

Q: How many lines can be drawn that contain both points A and B? How many lines can be drawn that…

A: We know that, two points are always collinear and only one line can be drawn through two given…

Q: Which point(s) lie on the line (x, y, z) = (2, – 1, 5) + n(1, 2, – 1)? a) (1, – 3, 4) b) (5, 5, 2)

A: Given: equation of line x,y,z=2,-1,5+n1,2,-1 For finding which point lie on given equation of line,…

Q: For what value of x the joining A (4,1,2) ,B(5,x,0) is perpendicular to the line joining…

A:

Q: If the line passing through the points (a, 1) and (−14, 9) is parallel to the line passing through…

A: The given points are

Q: 7. Draw a perpendicular bisector for each of the lines below. A T. H.

A: Given the lines:

Q: What is the length of the line segment? A(-3,4) -5 4 -3 -2 -1 2 3 4 5 -2 -3 B(2,-3) O 5 O V74 O 7 O…

A:

Q: The isocost line of the smallest value is the line (1,3) 3, 3) (5,0) 이 (1.0, -2 O 15 O-3 0 3

A: To find the is cost line of the smallest value is the line with z:

Q: Let A= (1,2,4), B=(4,1,5), C=(4,2, 6), D=(7,1,7) Find the exact distance between the lines AB and…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: uate ∫c 5x^4 ds, where C is the line segment from (1,3) to(2,6).

A: In this question, the concept of line integral is applied. Line Integral The function to be…

Q: Which point(s) lie on the line (x, y, z) = (2, –1, 5) + n(1, 2, - 1)? a) (1,- 3, 4) %3D b) (5, 5, 2)

A: The given line is  (x,y,z)=(2,-1,5)+n(1,2,-1) compare  with general equation of line in a space

Q: 14 Find the midpoint of the line segment with the given endpoints shown: Q(-8,-3):T(-6, -2)…

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Q: Show that the line koining the points A(2,3, – 1) and B (3,5, — 3),C(1,2,3) аnd (3,5.7)

A:

Q: Find the intersection: {k, s, 1, v, x}n{s,t, a, r, k} .

A:

Q: lem 17. What multiple of a = (1,1,1) is closest to the point b= (2,4,4)? Find also the poin st to a…

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Q: Mark all points that are on the line y = 5x + 8. O (2, 18) O (5, 8) O(– 2, – 3) 3 7)

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Q: How far is the line 2/11x – 10 y + 24 = 0 from the origin? O 1 O 2 О з O 4

A: Given that: Equation of line is:            211x-10y+24=0

Q: Find the distance between points P(9,3) and Q(5,6). Round to the necessary. 25 О 16.6 O 5 0 7

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Q: and

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Q: #19.) as which of the following points lies on the line x=2€, A(2,4,27 BC-2,2,17 C(4,5,2) D(6,6,2)…

A: 19.The parametric equation of the line x=2t, y=3+t, z=1+t

Q: Î, Ý; , = 6 + 10X, + 7.5X a. Predict Y for X, = 4.

A: Given that  Sample size (n) = 26 Regression equation Y^=6+10X1i+7.5X21i

Q: which table displays inear relationship? 3. 4 10 5. 16 9. 24 10 2. 10 12 14 10 -5 3\ 1. 10 4 2.

A: Concept: Linear relationship means that the value of x and y increases in the same proportion. In…

Q: Calculate the length of PQ where P = (-2,1,6) and Q = (-3,4, –1).

A: We will find the length of PQ→ in the following step

Q: Given: line a || line b. If m3 2x + 10 and mZ5 5x 40, then m25 %3D |3D 3 4 5 6 7 8 30* O 110" O 150*…

A:

Q: Suppose a line runs through two points: p=(3,2) and Q=(15,8) What the slop of the line

A: Given: A line passes through two points  P = 3, 2Q = 15, 8 To find: The slope of the line.

Q: Find a parallel line that passes through the given p (3, 4), y = 2x - 7 O y = 2x +2 O y= 1/2x + 2 O…

A:

Q: Evaluate |V(x? y + x y z?) . dr where C is the line segment from (1,- 1,0) to (2,1,3)

A: Dell Operator:The Dell∆Operator of a scalar function f(x,y,z)  is defined as   ∇f=∂f∂x i+∂f∂y j+∂f∂z…

Q: Find the midpoint of each line segment. O (1, –1) O (-2, -4) O (-2, 2) O (0, 2)

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Q: Find the value of Line WY. W 43 – 2x 12x + 1 Y O 43 O 29 O 37 032

A: We know that,  Two tangent line on circle from an external point is of same length.  So, Length of…

Q: Let A = (m, n) and В 3 (х, у) . If A and В lie in one horizontal line and is to the right of A which…

A:

Q: If X= { a, b, c, d } and Y = { f, b, d, g},      find. (i) X – Y           (ii) Y – X          (iii)…

A: The given sets are

Q: Mark all points that are on the line y = 4x – 7. O (3, 5) (– 2, – 15) O (4, – 7) O(- 3, – 20)

A: Given : y = 4x - 7

Q: For what value of x the joining A(4,1,2) ,B(5,x,0) is perpendicular to the line joining…

A: Explanation of the solution is given below....

Q: 7. The line through the points and (2, 1, –3) Answer + 1 x = 2 + 2t, y =1+ t, z = -3 - 4t; (x – 2)/2…

A: The given point is: 0,12,1, and 2,1,-3 To find the equation of the line.

Q: Evaluate |(xy? + 4) ds where C is the portion of the line segment from (1,2) to (3,-4) and then from…

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Q: Calculate the distance between players W and Y. Question e)

A: 1. e)   Given: ∠XYZ=89°∠ZWX=116.9°∠WZX=24.6°∠YZX=33.41°……1   and,   WX=20 mXY=24 m……2   To find:…

Q: 2. Find the slopes of the medians of the triangle with vertices (2, 3), (5, 7), and (4, -2).

A: Given : The vertices of the triangle A2, 3, B5, 7 and C4, -2

Q: Which point(s) lie on the line (x, y, z) = (2, 1, – 3) + r(3, 2,–4)? a) (2, 1,- 3) b) (8, 5,- 11)

A: The vector (x,y,z)=(2,1,-3)+r(3,2,-4)

Q: Find a point on the line 3? − ? = 4 that is closest to the point (–2, 3)

A:

Q: Q1: Determine the coordinates of point N (zero, ?, ?) located on the line AB where: A(-4,5,6) B…

A:

Q: 3. Let A= (1,2,4), B=(4,1,5), C=(4,2, 6), D=(7,1,7) Find the exact distance between the lines and…

A:

Q: If the points (h, 0), (a, b), and (0, k) lie on a line, show that 1 + k h

A:

Q: Explain why the lines below are skew. l1: (x, y, z) = (-2, – 2, – 2) + n(1, 2, 3) and l2: (x, y, z)…

A: To show that the given two lines are skew lines. The two lines are                          l1 = (-2…

Q: 23 ds, C is the line segment from (-1, 7, 2) to (4, 2, 5). Pr. #2)

A:

Q: How many lines can be drawn through a given point on a circle that is tangent to the circle? * one O…

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Q: Y 12" 6" -6"- -6"-

A: Let, the given image be named as:

Q: Let P, (4, 2, 4) and P2 (5, 5, 9), find the shortest distance between the line P,P, and P3 (1, 1,…

A:

Q: Lis the line passing through points (0,0,0) and (1, 1,1). M is the line passing through (2, 2, (4,…

A:

Q: 4. Which of the points below is the midpoint of the given line segment? (-3, 6) (3, -2) O (0, 2) O…

A: Use the formula for the mid point of a line segment.

Q: over the interval 4 -4 -3 -2 2 3 4 -2 -3 -4+ Clear All Draw: Line Segment Question Help: M Message…

A: We draw the graph of f

Q: Find the midpoint of the line segment with the given endpoints. (-1, 2), (2, -5) ㅇ (+월) O (5, –12)…

A: This question is based on coordinate geometry.

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.