Prove that the equation S =x+4xy+3y²– 4x – 10y +3=0 represents a pair of lines and find the equations of the lines.

Q: Find the equation of the line that passes through the point (-1, 3) and is parallel to the line 5x –…

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Q: Find the equations in the symmetrical form on the line perpendicular to the lines and passing…

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Q: Find the equation of the line that passes through the point (-1, 3) and is parallel to the line 5x –…

A: Two parallel lines have the same slope.   The slope-intercept form of a line is given by:…

Q: a.) Find the distance between the parallel lines e: 2x-6=-4y-16 =:-3. 1x+2= -2y = .

A: By Bartleby policy I have to solve only first one as these are unrelated and lengthy problems.These…

Q: e 5y=-6x +

A: we have to find the equation of line that is perpendicular to the line 5y=-6x + 2.

Q: raction of the lines 3y - x=2, 2y-5x

A: Given:- 3y - x=2, 2y-5x=7  and  y - 2x=7 To find the equation of the line passing through the point…

Q: 1. Show that the lines having the equations 4x- 3y + 12 = 0 and 8x 6y + 15 = 0 are parallel.

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

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Q: Sketch the lines 3x+ 4y 7 and x- 2y = 6, and find their point of intersection. Hint: Their point of…

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

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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: Find the point of intersection of the lines with equations x + 4y = 11 and 2x + 5y = 16

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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: parallel

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Q: Find the equations of the straight lines passing through the point of intersection of the lines 3x +…

A: Given that: 3x+2y+4=0     .....(1)2x+5y-1=0    .......(2)

Q: Ux the fact that х у 1 a b 1-0 a b 1 to deiermine the equation of the line passing through the…

A: Let (x,y) be a point on the line connecting the points Now if  they are on the same line, the area…

Q: Find the value of p for which the lines 2x+3y-7=0 and 4y-px-12=0 are perpendicular to each other

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Q: 12 The lines whose equations are 2x + 3y = 4 and y = mx + 6 will be perpendicular when m is %3D 1)을…

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Q: 4. Which of the following lines is parallel to y = 6x 18? 3x+6y=2 ○ 2x + 3y = −2 -6x -6x - 2y 2y =…

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

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

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Q: Find the equation of the line that is perpendicular to x – 3y = 6 and passes through the point (2,…

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Q: Find a general form of an equation of the line through the point A that satisfies the given…

A: x+3y=1 ; A(-3,5)

Q: Find an equation for the line with the given properties.  Parallel to the line 2x+9y=24; containing…

A: A line parallel to the line 2x+9y=24 will have same slope as this line Write 2x+9y=24 into y=mx+b…

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

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Q: Find a general form of an equation of the line through the point A that satisfies the given…

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Q: Find the equation of the line perpendicular to -x - 4y = 6 and passes through the point whose…

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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: Consider the two lines L1: x =-2t, y = 1+ 2t, z = 3t and L2: x =-9+5s, y = 5s, z = 4+ 2s Find the…

A: As the lines intersect thus their components are equal thus equate the components of the lines L1…

Q: 4. Determine the Cartesian equation of the line that... a) is perpendicular to x=2+t, y=-3 + 2t and…

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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: Find an equation of the line that passes through the point (−4, 4) and is parallel to the line 9x −…

A: Rewrite the equation 9x–8y–6=0 as,

Q: The pair of lines defined by the equations 2x – 5y=-3 and 2x+5y=4 are O A. parallel to each other. O…

A: Given lines  2x-5y=-3 and 2x+5y=4

Q: The line joining the origin and Pomt of of the linesr (X=1+2t,42-3+4t. y=-5+3t 2 Ction ,zet) and

A: Let the parameter of line L1 is t = t1 and the parameter of line L2 is t = t2. To find the point of…

Q: E. Show that the lines 3x - 5y + 19 =0 and 10x + 6y -50 =10 are perpendicular and find their point…

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Q: Find a general form of an equation of the line through the point A that satisfies the given…

A: The equation of a parallel line is given as 5x-2y=4 Convert the given equation in slope intercept…

Q: Find the equation of the straight line perpendicular to the line 5x - 2y=7 and passing through point…

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Q: Find the value of p for which the lines 2x+3y-7=0 and 4y-px-12=0 is perpendicular to each other

A: 2x+3y-7 =0 ...... (i) y = (-2/3)x +7/3  -PX+4y-12=0 ........(ii) y =(p/4)x  +3

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

A: 2x2+xy-6y2+7y-2=0

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: Given the line 4x - 3y 10, find the equation of the line perpendicular %3D and passes through the…

A: Given : 4x - 3y =10 rewrite -3y = -4x +10 y=43x -10

Q: Find the general forms of the equations of the lines that pass through the point (2, −1) and are…

A: Line passing through the point (2, −1) and is parallel to the line First we find the slope of the…

Q: Find the linear equation that is the straight line through (5, 5) and parallel to the line 12x – 6y…

A: It is known that the slopes of two parallel lines are equal. Thus, the slope of the given line i.e.…

Q: Find the equation of the line that passes through (3,–7) and is perpendicular to the line 6x + 2y =…

A: Given a line : 6x+2y=8 We need to find equation of a line passing through the point (3,-7) and is…

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: s) Find the equation for the line passing through the point (-1, 4) and perpendicular to the line…

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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: Show that the equation of the line in R' through distinct points (1, Y1) and (x2, Y2) can be written…

A: We have to show that the equation of the line in R2 through distinct points x1,y1 and x2,y2 can be…

Q: Which of the following equations represents a line that is perpendicular to the line represented by…

A: given,  The kine is represented by x+2y=6  and passes through the point (3,-4)