Consider the line y = ax , where a is a positive constant. What should be the x- coordinate of the point on the line closest to the point (a, 0) ? a2+a (b). a2 (c). a-a? (d). a a²+1 a²+1 a²+1 a²+1 А) с В) d с) а D) b

Q: B. Show that line is parallel to plane x-2y + z 6

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Q: Verify that the two lines are parallel and find the distance between the lines. L1:   x = 2 − t,   y…

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Q: In the accompanying diagram, trans- versal RS intersects parallel lines +> XY and WZ at E and H,…

A: Given: RS is transversal line that means it intersects two parallel lines (XY and WZ). Therefore…

Q: Show that the product of the perpendicular distances from the origin to the pair of lel la-b) + 4h?…

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Q: Verify that the lines are parallel, and find the distance between them L1: x = 2 - t, y= 3 + 4t, z =…

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Q: Show that the lines having the equations 4x – 3y + 12 = 0 and 8x – 6y + 15 = 0 are parallel.

A: According to question,Given equation of lines,4x - 3y +12 = 08x - 6y +15 =0

Q: The straight line lx+my+n=0 bisects an angle between the pair of lines which one is px+qy+r=0.Show…

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Q: What value of x would prove that lines /and mare parallel? (8x-31) (5y+35) (6x+3) 217 O 28 014

A: Given, l||mTo find: magnitude of x

Q: Evaluate (x+y)ds where C is the straight-line segment x = 2t, y = (8 – 2t), z = 0 from (0,8 C…

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Q: (1) What is the relationship between lines 11 and 12? where L:x = 2, y = 1+2t, z = 1+t L2:x = 4 -t,…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Evaluate ∫C x ds, where C is the straight-line segment x = t, y = t/2, from (0, 0) to (4, 2).

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Q: Find the value of a that makes lines u and v parallel. 70° 14+12x v 10

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Q: Label the follwing lines as parallel, perpendicular, or neither to the line y = 2x - 4 2x + 4y = -12…

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Q: What value of x would prove that lines /and m are parallel?

A: Given that lines m and l are parallel.

Q: Determine if the following statement is true or false. The lines L1 and L2 are skew. L:x = 10 + 3t,…

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Q: Consider the two lines L1: x=−2t,  y=1+2t,  z=3t and L2:  x=−9+5s,  y=3+2s,  z=1+5s Find the point…

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Q: 4. Determine the intersection of lines:L = aund LzX= とz 11 >\J

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Q: the straight line lx+my+n=0 bisects an angle between the pair of lines of which one is…

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Q: Which of r = 2 sec θ and r = 2 csc θ defines a horizontal line?

A: we have to tell which of r = 2 sec θ and r = 2 csc θ defines a horizontal line.

Q: Based on the trapezoid shown in the standard (x, y) coordinate plane above, what is the slope of the…

A: Here ABCD is a trapezoid and AB parallel BC which also parallel to the X axis

Q: et L be the line defined as L:x = 4 – 4t, y = -7+t, z= a+ bt, te R

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Q: 3. Show that the lines L :1 = 2+t, y = 2+3t, 2 = 3+t and La :1 = 2+t, y = 3+ 4t, 2 = 4+ 2t…

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Q: Consider the line y = ax , where a is a positive constant. What is the shortest distance between the…

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Q: Find the value of a that makes lines u and v parallel. 130° x+ 135 y O 5

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Q: Look at this diagram: R. V W Y If SU and are parallel lines and mSTR = 110°, what is mZVWT?

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Q: 1. (x² +y² +z?) ds , where Cis straight line from (1,2,3) to (4,1,4).

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Q: 258. Are the lines of equations and x = −2+2t, y=-6, z = 2 + 6t x= -1 +t, y = 1+t, z=t, t€ R,…

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Q: Consider the line y = ax, where a is a positive constant. What is the shortest distance between the…

A: Given:- Consider the line y = ax, where a is a positive constant. To find:- What is the shortest…

Q: 20. Consider lines €1 and l2. l1 : [x, y] = [1, 4] + [[-7, 2] l2 : [x, y] = [-2, 6] + t[k, 9] a) For…

A: We know that two lines are parallel if their slope are equal and perpendicular if the product of…

Q: Show that the two lines X= 2+ St J= 4 - 36 Z: 5+t X= 1+4t and y= 5-4t Z: -1+ SE skew Rind the…

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Q: Determine if the lines ℓ1: x − 9 = −t, y + 4 = 3t, z − 9 = 3t and ℓ2: x − 1 = s, y − 4 = −s, z − 9…

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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: Consider the two lines L1 : x= -2t, y= 1+2t, z= 3t and  L2 : x= -5+s, y= 1+4s, z= 1+5s find the…

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Q: 1. Given that line m is the perpendicular bisector öf 14/15 FH and EH = 100, find EF. H,

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: For what value of w is line m parallel to line ?

A: C passes through (-4.-7) & (2,-3)   slope of C = -7-(-3)-4-2                       = -4-6 = 23

Q: Show that the lines with symmetric equations L1 : = = and L2 : 팡!%3D 부 =D 촬 %3D y-3 are skew.

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Q: Which of the following represents two lines that are coplanar and do not intersect? (A Perpendicular…

A: Given that Two line that are coplanar and do not intersect

Q: 4. Determine the intersection of lines:L,:= = and Lz X=Y-1=2 11 >\J

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Q: Show that the lines px + qy + r = 0 and P1x + q1y +r¡ = 0 are parallel or identical if and only if…

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Q: Find Sax ds, where C is the line segment in the plane joining (0,0) and (3, 4).

A: I am attaching image so that you understand each and every step.

Q: is this true or false......When lines  m  and  n  intersect at point  P  , it follows that   m ∩ n…

A: This is true: in Euclidean geometry/plane. if two lines m,n intersect at a point P ,then m…

Q: Show the lines (x, y, z) = (5 + 2t, 3 + 2t, 1 – t) and (x, y, z) = (13 – 3r, 13 + 2r, 4 + 4r) are…

A: Given:- Show the lines (x, y, z) = (5 + 2t, 3+2t, 1- t) and (x, y, z)= (13-3r, 13 + 2r, 4 + 4r) are…

Q: Suppose that the two lines ay= x-y and 2/ax+3y=1 are parallel. What must be the value for a?

A: First of all, consider general equation for the straight line. Also consider the given equations.

Q: Two straight lines 3x - 2y + 5 = 0 and 6x - 4y + 10 = 0 A Intersects at the origin B. Are…

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Q: Consider the line y = ax , where a is a positive constant. What is the shortest distance between the…

A: Here we use the general formula for calculating the shortest distance between line and point.