Consider the two following lines in R. (;)-) 1 + y = 2x – 5 and y 2 - t (a) Find the point where those two lines intersect. (b) Find the cosine of the shortest angle at which the two lines intersect.

Q: Plot the points A = ( - 1, 8) and M = (2, 3) in the xy-plane. If M is the midpoint of a line segment…

A: We have the following information    We have to plot the points A = ( - 1, 8) and M = (2, 3) in…

Q: Given the curves a -- of intersection. (t)=(41,3-²,5-12) and r(t) = (²-8,-1,1-3), find all points

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Q: Find the equation of the line passing through the point 4(2,3) and making en angle of 45° with the…

A: The equation of a line passing through A and making an angle of 45\degree with the x-axis isx-2cos…

Q: If C is the line segment connecting the point (a1, b1) to the point (a2, b2), show that 3r dy – 3y…

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Q: 1. The line y - 6 = 2(x + 4) passes through which point? OA (-4,-6) O B. (4, −6) Oc( 4, 6) OD (2,6)

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Q: Find the equation of the line passing through the point (7, 2) and perpendicular to the line 5y = 9…

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Q: . Plot each pair of points and compute the distance between them:(a) (1, 4) and (3, 2) (b) (2, 1)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: O(0,0) and A(4,4) are two given points and B is any point. Find the equation to the locus of the…

A: Given The O(0,0)  and  A(4,4) are any two points and  B is any points . OB and AB are perpendicular…

Q: Let C be the line segment connecting the points P(−2,1,−4) and Q(5,−4,3). Evaluate ∫C(2x+4z)dy…

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Q: Show that the following sets of points are collinear and find the equation of the line L containing…

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Q: iven two line segments, construct a rhombus whose diagonals have lengths equal to the lengths of the…

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Q: . (a) Let C be the line segment from a point (a, b) to a point (c, d). Show that -ydx + xdy = ad –…

A: It is given that,  C is the line segment from a point a,b to a point c,d. Now, combining it with…

Q: . Let A=(2, 3, 1) and B= (4, -1, 2) and C = (6, 2, 3). Find the equation of the line in parametric…

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Q: Plot the following points: A (3,-3) B (4,2) Determine the Distance AC. C (-1,2) D

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Q: The distance between the points (1,−2, 0) and (4, 0, 5) is _____ .

A: Given Two points; (1,−2, 0) and (4, 0, 5)

Q: 1. Find the two points on the x-axis which are at a distance 2 from 3x – 4y – 6 = 0.     a.…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Find the distance between two points (1, 2) and (3, −1).

A: We want to find the distance between the given two points. We use formula for finding the distance…

Q: Draw a diagram showing two perpendicular lines that intersecton the -axis and are both tangent to…

A: The given parabola equation , y=x2. To draw two perpendicular lines that intersect on the axis and…

Q: (-3,-4) and is parallel Q.1 a) Find an equation of the line that passes through the point to the…

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Q: Which of the following mathematical models is used to determine the distance between two points…

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