The distance from a point (2, y) to a line x – 2y + 3 = 0 equal to v5. Find the value of

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 distance from the point s(1,-6,2)to the line x = 2 + 3t, y = -4 + t,z = –2t Ans >>d=1.79

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Q: Find the points of intersection of the line y = 5 x with the curve y = 3 x + x^2

A: In order to find the point of intersection of given line line and curve , we must find values where…

Q: Where is the line y = 10 – 2x closest to the origin? (х, у) %3D

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Q: Find the area of the triangle bounded by the lines y=x+3, y=2x-1 and y=-3x+4

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Q: Find the equation bounded by x = 9yeY and x = 3y2, y = 3 and y = 9 %3D %3D Write your answer in two…

A: solution is given below

Q: Find the distance from the point (3,4,1) to the line x=0, y= 4+2t, z= 1+t

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Q: What is the length of the part of the curve y squared = (x-1) between the points (1,0) and (2,1)?

A: To find- Length of the part of the curve.

Q: Perpendicular to y + x = 0; (2, 0) on line

A: To find equation of a line ,which is perpendicular to line y+x=0,and point (2,0) lies on line.…

Q: Find the point where the line tangent to y=x* – 3x² +2 at (2, 6) crosses the x – axis.

A: y=x4-3x2+2,  2, 6 Differentiating with respect to x, we get dydx=4x3-32x+0=4x3-6x Now slope of the…

Q: Find the acute angle between the lines x + 2y = 7 and 5x – y = 2. %3D

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Q: Parallel to x + 2y = 0; (1, 2) on line

A: To find the equation of line paralley to x+2y=0 and (1,2) is on the required line.

Q: The tangent of the acute angle between the lines y = 4x – 3 and y =x-5 is 4. IA 2 D

A: Two lines are given as : y = 4x - 3 and y = x - 5

Q: Find the point on the line y = 3x + 4 that is closest to the origin. (x, y) = |

A: To find - Point on the given line closest to the origin.

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 distance from the point (2, 1, –1) to the line z = 2+ 2t, y = 1+ 6t, z = 3. Lütfen birini…

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Q: Find the distance from the point S(0,0,12) to the line L: x = 4t , y = -2t z = 2t 3

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Q: The slope of the curve 2x + Vx + y = y at the point (0, 1) is

A: 2x + √(x+y) = y  So,  √(x+y) = y - 2x So, x+y = (y-2x)² So, x+y = y² + 4x² - 4xy  So, y(1+4x) - y² =…

Q: Find the distance from the point S(1, 1, 5) to the line L: x = 1 + t, y = 3 – t, z = 2t.

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Q: At what points will the line y = x intersect the unit circle x2 + y2 = 1? (x, y) = (smaller x-value)…

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Q: Find the distance from the point (3, 5, 1) to the line æ = = 0, y = 5 + 2t, z = 1+ 3t.

A: Given line x=0, y=5+2t, z=1+3t Therefore line passing through the point (0,5,1) and direction ratio…

Q: The distance from a point (2, y) to the line 4x + 3y =0 is equal to 5. Find the value of y.

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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 point on the line y=5x+3 that is closest to the origin (x,y)=(______)

A: Let (m,n) be the point on the line which is closest to the origin.Put n = m, y = n, in y = 5x + 3…

Q: The line y 을 16 has x-intercept 3. -8)-and is perpendieular to Ahe line Passes through (4,pand…

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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 distance from the point S(0,0,12) to the line L: x = 4t , y=-2t z = 2t

A: Write the vector of the given line using x=4t, y=-2t, and z=2t. L→=xi→+yj→+zk→   =4ti→+-2tj→+2tk→…

Q: Find the acute angles between the intersecting lines x = 2 + t, y = 4t + 2, z = 1 + t and x = 3t -…

A: Given: The equation of lines x = 2 + t,  y = 4t + 2,    z = 1 + t      and x = 3t - 2,   y = -2,   z…

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

A: The perpendicular drawn from the origin to the line represents the shortest distance.

Q: Evaluate the length of the curve x = 6 – Vy – 2 , 3< y<6

A: To find the length of following curve  x = 6 - sqrt( y - 6) 3 ≤ y ≤ 6

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: find the point p on the line y=5x that is closest to the point (78,0). what is the least distance…

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Q: Find the point on the line y = 4x +5 that is closest to the origin. (x,y) = ____

A: Find the point on the line y = 4x +5 that is closest to the origin. (x,y) = ____

Q: Find the distance from the point P(-1,2,4) to the line given by x=2t y=1+t z=3t

A: Given query is to find the the distance between point and the line

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: With center on the line y = 2x – 13 and tangent to the line y = - 3x + 57 at (16, 9)

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Q: Find the length of the curve x = 3t2 + 10, y=2t3+ 11, O<t<1.

A: Given,         The length of the curve x=3t2+10 , y=2t3+11 , 0≤t≤1We know that,         The length…

Q: Find the length of the curve 9y2=8x3 from x=o to x=12 when y>0

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Q: Find the point on the line y = 4x + 3 that is closest to the origin. (x, y) =

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Q: Find the point on the line y = 3x + 4 that is closest to the origin. (x,y)=

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Q: Find the point P on the line y=3x that is closest to the point (40,0). What is the least distance…

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Q: The area bounded by the curve y = 4x and the lines r = 6 ,x = 12 and a – axis is 144 square units O…

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Q: Find the approx. distance of the point (6, -3) from the line 2x – y +4 = 0 a. 6.5 units O b. 10.5…

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Q: Find a distance from the point S(1,1,5) to the line x=1+t, y=3-t,and z= 2t

A: We need to find the distance of the point (1,1,5) and the given line.

Q: Find the equation of the line normal to x^3 + y^3 = 6xy at (3,3)

A: Given, x3+y3=6xy

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: Find the distance between the parallel lines.

A: Here x1 = 1; x2 = 0; y1 = 0; y2 = 1; z1 = -1; z2 = 1

Q: What is y = _ + x3 1 curve x = 1 and x = 2 the length of the part 12 х between the abscissa points?

A: We find dy/dx using the power rule

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

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