Find the length of the perpendicular drawn from point (2, 3, 4) to the line 4 1- 2 %3D 6 3

Q: A line passing through (0, –3) and is perpendicular to y =;x – 4. х —

A: The given line passing through the point 0,-3 and it perpendicular to the line y=52x-4. Calculation:…

Q: 22. Find the distance from the point (5, 2, -1) to the line х — 1 - 2 1 3

A: Given equation of line is, x-12=y1=z3 The point is Q(5,2,-1).

Q: The distance from the origin to the line passing through the points (0, 1,3) and (1,-1,2) is 14.

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Q: Find the length of the perpendicular from (2,-3) to the line 2x - y +9 = 0?

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Q: How find the pistance from fant (1,3) and Line y -4

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Q: Find the point on the line 4x + y = 7 that is closest to the point  (−4, 2).

A: Let P(x,y) be the point on 4x+y=7 y=7-4x Distance   D2=x+42+y-22Z=x+42+7-4x-22Z=x+42+5-4x2

Q: Find the coordinates of the point which divides the line segment connecting (-1,4) and (2,-3) into…

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Q: . Find the exact distance between P1 = ( - 1, - 7) andP2 = ( 2, - 1). Then approximate the distance…

A: We know that, the distance d between two points x1,y1 and x2,y2 is given as d=x2-x12+y2-y12…

Q: Use the method above to find the distance from the point P(-3, 1, 2) to the line through A(1, 1,0)…

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Q: Find the distance between the points. (3/2, 4/3) , (1, –2) =       Units.

A: Recall: Distance between two points (x1,y1) and (x2.y2) is x2-x12+y2-y12

Q: How Find the pistance from fant(,3). and Line y -4

A: on solving that we get d=1

Q: Find the distance between the points (3, 2) and (4, 3)

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Q: Find the distance from the point (- 2, – 8, – 6) to the line a(t) (5, 3, 2)t + (– 6, 6, – 5). |

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Q: Find the distance between the points ( –4, 8) and (–5, –1)

A: To find the distance between the two points (-5,8) and (-5,-1)

Q: Find the distance d between the points (5, – 7, 2) and (2, 5, 6).

A: Distance between two points x1,y1,z1 and x2, y2, z2 is d=(x2-x1)2+(y2-y1)2+(z2-z1)2

Q: A) Find the nearest distance from the point (-4,2) and the line 2x-y 5

A: Nearest distance is the perpendicular distance from the point to the line.

Q: Use the method above to find the distance from the point P(-3,1,7) to the line through A(1,1,0) and…

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

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Q: Find the midpoint of the line segment that joins (-2, 1) and (4, 5).

A: A line segment from two points are given , we have to find its midpoint.

Q: Find the distance between the points (5/2,3) and (3/2,8).

A: We have to find the distance between the points52,3 and 32,8.

Q: Find the equation of the line L that passes throught point P(- 4, 7, 3) and Q(2, – 3, - 2).

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Q: Find the distance between the points (7, 8) and (9, 4).

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Q: Find the distance from the point to the line.   (−4,4,−1)​; x=-3+3t, y=-1+t, z=1+2t   The distance…

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Q: Find the distance between the points (1, −7) and (4, 2).

A: To find the distance between the given points

Q: Find the distance from P(1, -2, 3) to Q(-3, 5, -2).

A:

Q: Find the distance between the points. 2 (3, 3), (3, -1) 2 units

A: To find the distance between given to points.

Q: Find the distance between the points A(2, 5) and B(4, -1).

A: The distance d between two points x1,y1 and x2,y2 is given by; d=x1-x22+(y2-y1)2  Therefore the…

Q: At what point on the line y = -b does the line segment from (0, 0) to (a,0) subtend the greatest…

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Q: Use the method above to find the distance from the point P(-3, 1, 2) to the line through A(1, 1,0)…

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Q: Construct a line parallel to the line given through point P. 2. 1. 4. 3.

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Q: Find the equation of the Mane that contains the line 3X - 2:2 = - 39 = 7-7 and that is Para llel to…

A: When the plane is parallel to the line x-y+z=2: Here n1→=i^-j^+k^ and a→=2i^+3j^+k^ To find…

Q: What is the distance between the points M(-3,1) and N(7,-3)?

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Q: Find the distance between the points (3, 1) and (9, 9)

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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: Find the distance from the point (3, 2, 5) to the line 0, y = 2+ 2t, z = 5 + 2t.

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Q: The perpendicular distance from (5,3) to the line y+4x= 6

A: Line = y+4x-6 = 0 and point ( 5,3)We Know that the perpendicular distance d= ax + by +ca2+b2Where a…

Q: Find the distance from the point (-2,2,-1) to the line ä(t) = (- 2,3, 2)t + (8,0, – 7).

A: the given point is (-2, 2, -1) the line equation is a→(t) = <-2, 3, 2>t + <8, 0, -7>

Q: Find the line L passes through the point (-2,2) and perpendicular to the line L`: 2x +y = 4.

A: Given, The line L passes through the point -2, 2 and perpendicular to the line 2x+y = 4    We have…

Q: Find the distance between the points (5,3) and (3,0)

A: Given,          The distance between between the points 5,3 and 3,0.We know that,          The…

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 a point on x-axis which is equidistance from A (2,-5) and B(- 2,9).

A: Topic:- geometry

Q: Find the shortest distance between two lines, one passing through the points A = (-1,5,4) and B =…

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Q: Find the ration in which YZ -plane divides the line joining A(2,4,5) and B(3,5,-4) .Also find the…

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Q: Find the distance from the Point A (,2,1) to the line joining the too Points BB (o,5,2), C( 3,2,7).

A:

Q: How Find the Distance from Fant(1,3) and Line y =4

A: The distance between a point x0, y0 and the line ax+by+c=0 is given by d=ax0+by0+ca2+b2. The given…

Q: find distance between point A(2,-4) perpendicular on the line L: 3x- 4y=17 6.5 O 7.22 O 4.79 O 6.22…

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Q: Select all of the lines that go through the point (2, 5). Oy = (r- 5) + 2 O y = 2x + 1 %3D

A: We have given point (2, 5) a) OPTION (A) y=x-52+2 If the point (2, 5) lies on the above line then it…

Q: Find the distance between the line through A(4, 0, 2) and B(2, 4, 1) and the line through C(1, 3, 2)…

A: Find the distance between the line through A(4, 0, 2) and B(2, 4, 1) and the line through C(1, 3, 2)…

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

A: A1, 1, 0 &amp; B1, 0, 1.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.