9. A rhombus is drawn in the standard xy-coordinate plane. The line 2x+y= 4 includes one of the rhombus' diagonals. What is the slope of the other diagonal? A. -2 В. 2 1 С. D. 2 --

Q: 8. Determine whether the lines L,and L2 are parallel, skew or intersecting. If they intersect find…

A: Given data: The expression for the first line is L1: x=3+2t, y=4-t, z=1+3t. The expression for the…

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: A line passing through (0, –3) and is perpendicular to y =;x – 4. х —

A: The given line passing through the point 0,-3 and it perpendicular to the line y=52x-4. Calculation:…

Q: 9. Can one line be perpendicular to two other lines that intersect? Ex- plain.

A: It is possible in three dimensional geometry but its impossible in two dimensional geometry.

Q: What are the directing cosines of the line whose symmetric is (x + 2)/ - 1= (y-3)/ 2 = (z + 4)/ 6

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Q: Graph the Image of rhombus TUVW after a reflection across the line y = x. (v.x)

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Q: The line through (1, 2, 3) that is perpendicular to the lines x = 3 - 2t, y = 5 + 8t, z = 7 - 4t and…

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Q: 2. Find the equation of the line that is perpendicular to 6x – 4y = 8, which passes through the…

A: Use equation of perpendicular line

Q: find the nature of triangle formed by the lines x2-3y2=0 and X=2

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Q: Determine the equations of the line through P(-1,2, 1) and parallel to the line of meek section of…

A: Given P(-1,2,1) and parallel to the line of intersection of the planes 2x+y+z=2, x+2y+z=10

Q: 7. Three teammates from a local soccer club are practicing passing in triangular pattern as shown in…

A: It is given that three players AB and C are playing in such a manner to form right angle triangle…

Q: find the nature of triangle formed by the lines x2- 3y2 =0 and X=2

A: Nature of triangle is isoscelene

Q: Find the equation of the line through point (3,7,-11) y is perpendicular to the xz-plane

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Q: Find nature of the triangle formed by the lines x2-3y2=0 and x=2

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Q: Find the equ. nf line through the Pont (-2,3,4) and Parallel to Planes: 2X+3y +42=5 3X + 4Y+52=6…

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

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Q: If the line joining the two points (5,4)(5,4) and (3,−k)(3,−k) is parallel to the line kx−9y+11=0…

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Q: The intersection of plane A and plane S will be The intersection of lines n and k is W A x, Point X…

A: The intersection of two planes is a line. The intersection of 2 lines is a point The intersection of…

Q: find the distance from A(4, 6, -3) to the line x = 3t + 1, y = -t + 3, z = 6t

A:

Q: 3. Line ZW is parallel to line XY and line CD intersects both lines. 154° -Y X 3 4. Based on the…

A: Given To Evaluate m∠1 and m∠2?

Q: What value of K will make the lines 2x + 3y -2= 0 and -6x + Ky= 3 perpendicular? Parallel?

A:

Q: d the eqation of the line that passes through A(1,2,1) and intersects the line x+1 у-2 z+1 %3D at…

A: Topic:- geometry

Q: The diagonals of rhombus LMAO intersect at P(4, 11). If the equation of the line contains diagonal…

A:

Q: The area bounded by the curve y=4x y=4x  and the lines x=6x=6 ,x=10x=10 and x−axisx−axis is: Choose…

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Q: 7. Reflect parallelogram RSTU with vertices R(-2, 3), S(2, 4), T(2,-3), U(-2,–4) in the line y = -x.…

A: Reflection in Y axis  : (x , y ) → (-x , - y )

Q: You have three lines: LI: x = 3 + 2s, y = -1+4s, z 2-s L2: x = 3+ 2t, y 2 +t, z=-2+ 2t L3: x = 1+ 4u…

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Q: Suppose a line that appears parallel to side BC of ΔABC intersects sides AB and AC at points C and Y…

A: Suppose a line that appears parallel to side BC of ΔABC intersects sides AB and AC at points X and Y…

Q: Find the distance between the following paris of parallel straight lines  9x2-6xy+y2+18x-6y+8=0…

A: To the distance between the following pairs of parallel straight lines  The given pair of line…

Q: What is the distance between the points M(-3,1) and N(7,-3)?

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Q: W Y

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

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Q: - Classify the following lines as parallel or perpendicular or neiti a- y=4x-7 & y=4x+9. b- y=-5x+1…

A: Given: a. y=4x-7  and y=4x+9b. y=-5x+1  and y=3-5xc. y=12x and x=12y Concept Used: Two lines are…

Q: 7. Are the lines 3x - y 6 and y 3x +5 parallel, perpendicular or neither? %3D Parallel O…

A: Given equations are 3x-y=6 and y=3x+5 For line equation 1 3x-y=6 3x=6+y y=3x-6 by comparing with…

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: If c>+, how many lines through the point (0, c) are normal lines to the parabola y = 3x2? normal…

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Q: 2)What line is perpendicular to 2x + y = 3 at (1,1)?

A: What line is perpendicular to 2x+y=3 at (1,1)?

Q: In triangular space it is sufficient to know two different points to find the line passing through…

A: Given statement is 'True'

Q: D F OF and GI are parallel lines and mZDEH = 116°, %3D Submit

A: DF and GI are parallel line,

Q: 12- Show that the lines L1 and L2 are parallel and also find the distance between them. L1: x=2-t,…

A: Solution: Consider the given lines in parametric form; L1:Consider x = 2 - t = x0+ aty = 2t = y0 +…

Q: find point b (x,y) given that M (7,3) is the midpoint of line A(10,4) and b

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Q: Graph the image of rhombus TUVW after a translation 5 units right and 12 units down. W 10 V U 4- 2…

A: given,         A rhombus TUVW,             T= (-8,6)            V=(0,10)           W=(-5,10)…

Q: 2. Find the area of the parallelogram whose vertices are given by: P: (1,2, –1), P2 = (4, 2, -3), P3…

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Q: Is the line that contains the points P1(−3, 1) and P2(1, 3) perpendicular to the line that…

A: We can check the line joining the points are perpendicular or not as per the concepts as below.

Q: how that the lines x- 7y – 22 =0, 3x+4y +9 = 0 and 7x + y – 54 = 0 form a right angled osceles…

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Q: Find the z-coordinate of the foot of the perpendicular from A(1, 1, 1) on the line joining B(1, 4,…

A: We will solve the problem.

Q: 2. Find the area of the triangle formed by the lines Sz + y – 14 = 0, z + 7y + 38 = 0, and 9z – 5y +…

A: First we find vertex of triangle by using given lines.

Q: 4:x 3+6r, y =-2+9t,: =1-12t and L:x=-1+4t, y 3+6,-8r

A: We are given L1: x=3+6t, y=-2+9t, z=1-12t. So, L1: x-36=y+29=z-1-12. Thus, a1=6, b1=9, c1=-12. We…

Q: 3. What is the equation of a line that passes through A(-1,-1) and is perpendicular to segment BC:…

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Q: Show that the product of the perpendicular distances from the origin to the pair of straight lines…

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