Find the point of intersection between the two lines: L:x 3t + 1, y = 2t - 1, z = t + 4 and L: 1 x-7 y+8 z+1 -3 -2

Q: What is the relationship between the lines L1 and L2? where L7:x = 1+t , y = 3, z = 1- 3t L2:x = 4 –…

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Q: Q10)The two lines L1: x=3-2t, y=4+t ,z= 6-t and L2: x=5-4t, .y=-2+2t, z=7-2t are parallel

A: 10) The equation of the line x=3-2t t=x-3-2 y=4+t t=y-4 z=6-t t=z-6-1

Q: (B.) Determined by the intersecting lines L1 and L2 L1 : {x = 2t, y= 4- t, z = 3 +t}and L2:{x = 2 +…

A: According to guidelines we solve one question. thanku.

Q: Find the equation of a line that goes through the point (3, -5) and perpendicular to the line 4a +…

A: Here we need to find slope of given line g=for that need to convert given equation in slope…

Q: prove that the equation 2x²+3xy-2y²-x+3y-1=0 represents a pair of perpendicular lines

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Q: Are the lines y = 2x + 1 and y = −2x − 4 perpendicular?

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Q: Find the point of intersection of the lines with the given equations. 6x + 4y = −10   and   6x + 9y…

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Q: Prove that the equation 2x²+3xy-2y²-x+3y-1=0 represent the pair of perpendicular line

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Q: Prove that the equation 2x²+3xy - 2y-x+3y -1= 0 represents a pair of perpendicular lines.

A: Given that: 2x2+3xy-2y2-x+3y-1=0

Q: 2x y 3y-20 of Given two parallel lines cut by a transversal, solvefor x and y. %3|

A: The figure is given by To evaluate : The values of x and y

Q: The temperature of a rectangular plate bounded by the lines x = ±1, y = ±1, is given by T = 2x2 −…

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Q: Find the equation of line whose x - intercept is 2 and y - intercept is 3. O 3x + 2y = 6 O 2x + 3y -…

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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: Find the intersection point of the two lines: [x, y] = [1, 2] + t[2, -1] and [x, y] = [0, 3] + t[3,…

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Q: 3. Show that the lines L1 : x = 2+t, y= 2+3t, z = 3+t and L2:1 = 2+t, y= 3+ 4t, z = 4 + 2t…

A: L1: x =2+t , y= 2+3t , z= 3+t  L2: x =2+t , y= 3+4t , z= 3+t

Q: 2) Determine whether the lines 1: x = 1+ 2t, y = 3t, z = 2 – t and l2 : x = -1+ s, y = 4 + s, z…

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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: 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: What is the relationship between the lines L1 and L2? where L:x = 1- 2t, y = 3+ 3t, z = 5+3t L2:x =…

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Q: Find the equation of the line of intersection of r +y+z = 0 and 2x – 3y + z = 0. Note: (0,0,0) is a…

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Q: Find the distance between two parallel lines y = 2/3x +7 and -2x+3y=12

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Q: Prove that the equation 2x2+3xy-2y2-x+3y-1=0 represent the pair of perpendicular lines

A: To Prove that the equation 2x2+3xy-2y2-x+3y-1=0 represent the pair of perpendicular lines

Q: Find the equation of line whosex- intercept is 2 and y- intercept is 3. O 3x + 2y + 6 =0 O 2x + 3y-…

A: The line has x-intercept is 2 and y-intercept is 3.

Q: point

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Q: Show that the lines d1: (7x-15)/ 2 = (7y+34)/ -5 = z/1 and d2: x/1 = (y+1)/-1 = (z+3)/-1 are…

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

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Q: What is the relationship between the lines L1 and L2? where L1:x = 1-t, y = 1+ 2t, z = 2-t L2:x =…

A: The given lines are:L1: x=1-t ; y=1+2t ; z=2-tL2: x=1+t ; y=1-t ; z=2-3t

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: find the line that is perpendicular to 4x-7y=10 and goes to through the point (-1,2)

A: Let y be the required line.Given that, the line that is perpendicular to 4x − 7y = 10.Write 4x − 7y…

Q: Two straight lines 3x - 2y + 5 = 0 and 6x - 4y + 10 = 0 intersect at the origin. are coincident. are…

A: This question is based on straight line intersection.

Q: nd the distance between the two dissonant lines below х-1 y z+1 L1: 2 4 L2: = = z – 3 x-2 у-5 %3D 2…

A: Explanation and solutions is given below.....

Q: (1) What is the relationship between the lines L1 and L2? where L:x = 1-t, y = 4 + t, z = 2+3t L2:x…

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Q: find the x-intercept of the line by substituting 0 in for y and solving for x.   y=3x-12

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Q: Are the lines x = 7+11t, y = 11–61, z = 4–9t, and x = 3–12t, y = 7–t, z = 12–6t parallel? Yes O No

A: We have to check whether given line is parallel or not?

Q: 12. For the two non-parallel straight lines L:2x- 5y+ 21 = 0 and L: 3x+y+6 = 0, find the coordinates…

A: Consider the following: Line-1:  2x−5y+21=0Line-2:     3x+y+6=0 At intersection point: L1=L2…

Q: Prove that the equation 2x2+3xy-2y2-x+3y-1=0 represents a pair of perpendicular lines

A: Solution: The objective is to find whether the given equation represents a pair of perpendicular…

Q: Find distance between two lines x = 1 + t, y = 1 + 6t, z = 2t and x = 1 + 2s, y = 5 + 15s, z = -2 +…

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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: Consider the two lines  L1 : x=-2t, y=1+2t, z=3t L2 : x=-8+4s, y=1+4s, z=5+s Find the point of…

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Q: snip

A: Given :          The lines y = 2x - 1 and y = ax + 2 are perpendicular .   To find the value of a.

Q: The lines y = 5x − 3 and y = 2x + 9 intersect at P. What are the coordinates of P

A: P(4,17)

Q: What is the point at which the lines x = 3 - t, y = 2 + t, z = 5t intersects with x - y + 2z = 9 ? О…

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Q: What is the relationship between the lines L1 and L2? where L:x =1+4t, y = 3-t, z = 1+t L2:x = -3t ,…

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Q: Which of the following lines passing through the point ( 2,1) ? • a. y=2x+1 • b. y+2x=4 ● c. 2y+x=4…

A: Substitute x=2 , y=1 in each of the equations and compare the left hand side and the right hand side…

Q: Q1/The line joining origin and point of inter section of the lines (x = 1 + 2t, y = -3 + 4t, z %3D =…

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Q: What is perpendicular to the line x/2+y/4=1

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Q: Prove that equation 2x2+xy-6y2+7y-2=0 represents a pair of straight lines

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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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