a) Find the distance between the point P=(9, 1) and the line 3x+4y=6.

Q: Find the distance between the point (5, 1) and the line y = 3x + 1. O 3V10 O 7/10 O 9/10 O 5V10

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Q: Find the point (x0, y0) on the line 4x + 9y = 12 that is closest tothe origin.

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Q: 4. The midpoint of the line segment with endpoints (x1, yı) and (x2, y2) is given by the formula

A: we know, the midpoint of the line segment with end points (x1,y1) and (x2,y2) is given by the…

Q: Plot the points A = ( - 1, 8) and M = (2, 3) in the xy-plane. If M is the midpoint of a line segment…

A: We have the following information    We have to plot the points A = ( - 1, 8) and M = (2, 3) in…

Q: find the distance from the point P (2,1,1) to the lins x+1 y-1 Z-3 L: 6 -2 -3 = =

A: To find the distance from the point to the line.

Q: How do I do this?

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Q: a) Find the distance between the point P (9, 1) and the line 3x+4y 6.

A: As per our guidelines we are supposed to solve only one question i.e. the question no (a). For the…

Q: Use the Midpoint Formula three times to find the three points that divide the line segment joining…

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Q: Find the point(s) on x = 3 - y that are closest to point A = (1,0).

A: Given: Curve x=3-y2 and a point A(1,0).

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

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Q: Find the distance from the point (1, 2, 0) to the line æ = 3t, y= 1, z= 2 – t.

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Q: Find the shortest distance, d, from the point (4, 0, –4) to the plane x + y + z = 4.

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Q: Find the livus of points that are equidistant to the point F(0,2) and the line y=-2

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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: Use Eq. (8) to find the distance from Q = (1, 1, 1) to the plane2x + y + 5z = 2.

A: Find the distance from Q=(1, 1, 1) to the plane 2x+y+5z=2 or 2x+y+5z-2=0.…

Q: Find the distance of the point (2, 2, –5) from the line r(t) = (1+4t, –1+ 4t,7 – 3t) %3D swer:

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Q: The distance from a point P1(x1, Y1) to the line ax + by +c = 0 is laxi + by, + c] Va? + b2 Use this…

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Q: Find the distance from the point (1,1,5) to the line x=1+t, y= 3-t, z=2t O 2.236 O 0.36 O 36

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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…

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Q: ) Find the distance from the point (4, 1, 2) to the line x = 0, y = 1+ 5t, z = 2+ t.

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

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Q: Find the distance from the point P(2,1) to the line v = x + 2

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Q: Find the shortest distance from the point (2,0, –3) to the plane x + y + z = 1.

A: This is a problem related to geometry part. Based on the concept of plane and point we will find the…

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: Demonstrate that the circles (x – 2)? + y² = 2 and x? + (y – 2)2 = 2 share tangent at point (1, 1),…

A: Here we will apply the concept of finding the equation of tangent to the two circles at point (1,1).

Q: Find the distance from the point (4, 1, 2) to the line x = 0, y = 1+ 5t, Z = 2 + t.

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Q: Find the distance from the point (1, 5, 5) to the line x = 0, y = 5 + t, z = 5 + 5t.

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Q: By using the calculus of variations, prove that the shortest distance between two points in the y z…

A: The functionals with in the calculus of variations are of the form V[f(x)]=∫abF(x,y(x),y'(x))dx 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: Find the relationship between x and y such that the point (x,y) is equidistance from the points…

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Q: Draw a diagram showing two perpendicular lines that intersecton the -axis and are both tangent to…

A: The given parabola equation , y=x2. To draw two perpendicular lines that intersect on the axis and…

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: Find the distance between the pointx1 =−1, y1 =1, z1 =3 and the point x2 =1, y2 =1, z2 =1.

A: The first point is (-1,1,3) and the second point is (1,1,1) We will use the distance formula:

Q: The lines joining the origin to the point of intersection of the line lx+my=1 and y²=4ax are at…

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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: Show that the point (x0 , y0) closest to the origin on the line ax+ by =c has coordinates

A: Distance between x0, y0 and origin (0, 0) is, D=x0-02+y0-02D=x02+y02D2=x02+y02f=x02+y02…

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

A: Given the two planes 3x+y-4z=2,3x+y-4z=24. The distance between two planes Ax+By+Cz=d1,Ax+By+Cz=d2…

Q: Find Parametric efuatins for the lines - The line through (1-2-2) Paralle tothe(Z)-axis.

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

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Q: find the distance from the point to the line (2, 2, 0); x = -t, y = t, z = -1 + t

A: Given information: The point to the line is (2, 2, 0) and x = -t, y = t, z = -1 + t. Calculation:…

Q: ez ds where C is the line segment from (0, 6,-1) to (4, , 5). Compute

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Q: If point A is reflected over the y-axis and its original location was (2,3), where is its new…

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Q: (A) Find the unique point P on the y-axis which is on both planes. (–, ,

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

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

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Q: Which pointis two fifths of the way between point A and point B on the line segment AB shown on the…

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Q: The midpoint of the line segment between P1 (x,y) and P2 (-2,4) is Pm (2,-1). Find the coordinates…

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Q: 19. Find the point on the line y= 2x + 3 that is closest to the origin.

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Q: By using the calculus of variations, prove that the shortest distance between two points in the y z…

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Q: The distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3- 2t ,y=-2t+1,z=t is

A: Distance between two Parallel Lines we calculate as a distance between intersection of the lines and…

Q: Which point is two fifths of the way between point A and point B on the line segment AB shown on the…

A: Given query is to find the point at distance 2/5 from A.