Show that the equation of the line in R² can be written as х det 1 X1 У1 X2 У2.

Q: Show that the lines 2r + 3y = 1 and 6r - 4y -1=0 are perpendicular.

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Q: Is there a value for k that would make the line between the points (k,2) and (3,8) horizontal? If so…

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Q: Show that the line with intercepts (a, 0) and (0, b) has the following equation. x/a + y/b = 1, a ≠…

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Q: e 5y=-6x +

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

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Q: For what value of k is the line 2x + ky = 3 perpendicular to the line 4x + y = 1? For what value of…

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Q: Show that the line with intercepts (a, 0) and (0, b) has the following equation. x/a + y/b = 1, a ≠…

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Q: Find the value of x that makes lines a and b parallel. a 12x-4 10х + 10 O 10 O 13 O 6 O 7

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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: Show that the lines 2 x+3 y-1 and 6 x-12 y-1-0 are not perpendicular

A: As we know that, if the product of slope of two lines are (-1)  then both the both lines are…

Q: 1-JFind the equation of the line that Passes through AC,er) and in tersects the line Xgl- * = 2! at…

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Q: . Which of the following lines passes through the point (2, 5)? y = 2z – 1 y = 2z +1 y = 4z -2 y =…

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Q: Find the point of intersection of the lines: y = 4x + 1 and y = -2x +4 %3D o (2,9) 으(4,2) ㅇ (4,3) O…

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Q: What is the equation of the line that passes through (4, 0) and is parallel to the line x- y = 2? O…

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Q: Show that the lines 2 x+3 y-1 and 6 x-12 y-1=0 are not perpendicular

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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: Find the intersection(s) of two lines A and B. Line A is x−2y=1,and line B is 2x+y=2.

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Q: write down the equation of the pair of straight lines joining the origin to the points of…

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Q: What is the value of a if the point (a, – 1) is on the line 3x – 2y = 8? a =

A: We have to find the value of a.

Q: What is an equation of the line perpendicular to y = -3x + 3 that contains (7,4)? O Answer: y (1/3)x…

A: SOLUTION: y = -3x + 3

Q: 1. Write an equation of the line that is parallel to the line whose equation is 4y + 9 = 2x and…

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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: If ax2+2hxy+by2=0 represents two straight lines such that the slope of one line is twice the slope…

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Q: Find an equation of the line that satisfies the given conditions. Throught (-1,2); parallel to the…

A: Line passes through the point -1, 2 and parallel to the line x=5. The line x=5 represents a vertical…

Q: Is the line through the points (3, 4) and (-1, 2) parallel to the line 2x + 3y = 0? Justify your…

A: Given two points: 3, 4 and -1, 2            ……1   Given line: 2x+3y=0                       ……2

Q: Find equations of the lines that pass through the point (0, 4) and are (a) parallel toand (b)…

A: Given,         The equations of the lines that pass through the point 0,4 and the line 5x+2y=3.

Q: 1. Which of the following lines is parallel to y = 4x 2?

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Q: The lines y = 2x + 3 and y = ax + 5 are parallel if a = _______ .

A: Given lines, y=2x+3 y=ax+5

Q: * Let LIEX-54+10=D0 L2=4X+y-1-O be two lines. 1 Show that the lines L and Lz are not parallel.

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Q: Line l is an auxiliary line parallel to m

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Q: Which of the following lines is perpendicular to the line   y  =  12x + 1   and contains the point…

A: Given line is y=12x+1 And the point is (2, -2)   By comparing the equation of line y=12x+1 with…

Q: What is the general equation of a line given the points P(1,3) and Q(4,7)? O 4x-3y+5=0. O 4x+5y+3=0…

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Q: 4) Evaluate , -dz, where y is the line from 1 → 1+ i

A: In complex integration, we have to convert our given question into complex terms. But in our…

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: 8. Find a line uniquely parallel to the line 3x-4y+12=0.

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Q: Prove that the equation of a line passing through (a, 0) and (0, b) (a + 0, b = 0) can be written in…

A: Given points:   (a, 0)  and  (0, b). To prove:  the equation of line passing through these points is…

Q: 9. Solve for x and y that make the lines parallel.

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Q: Evaluate (x + y) ds, where Cl is the line segment from (-2, 1, –5) to (-1, –1, –2).|

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Q: Find the equation of the line in standard form (ax+by=c) that passes through the following points…

A: Explanation of the solution is given below...

Q: Find the equaation of the pair of lines intersecting ar (2,-1) parallel to the pair 6x2-13xy-5y2=0

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Q: Because the variable m does not appear in Ax + By + C = 0, equations in this form make it impossible…

A: Given equation of line is Ax+By+C=0     ...(1)

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

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Q: suppose I tell you that the line ax+5y=7 is parallel to the line 4x-2y=11. What is a?

A: Given equation of the line 4x -2y = 11   .......(1)and another line 9x+5y = 7 .....(2)we find the…

Q: If ax +2hxy+by 0 represents two straight lines such that the slope of one %3D line is twice the…

A: We have to prove that