What is the equation of the locus of a point which moves such that the line joining it to (-3, -1) makes an angle of 135° with the line through (5, 0) and (-4, 9)

Q: What is the horizontal of line through the point (4,-6)?

A: Solution: In the XY coordinate system, the point notation is always written as (x,y) And, x…

Q: Find an equation of a line through the point (-1,3) making an angle of 45 degrees with the line…

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Q: Point a is at (-3,-5) and point b is at (1,-9) what is the midpoint of the line segment ab

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Q: What is the equation of the line if the line passes through points (1,5/2) and (2,3)?

A: Given: - The line passes through points are, 1,52 and 2,3 To find: - The equation of the line.

Q: Find a set of symmetric equations for the line “A" perpendicular to the lines having direction…

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Q: Let A be the point with coordinates (-3, -2, 3) and let B be the point with coordinates (2, 0, 0).…

A: To find the distance from point D to line l.

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 the line perpendicular to y=2x-3 and through the point (2,-3) B) find the lines both parallel…

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Q: Find the point Pon line(AB) such that line(AP) /line(AB) =r Given that A=(2,4), B=(-5,2) and r=3/5…

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Q: Find the distance between the points (3, 8) and (-1, 11) and the slope of the line containing them.

A: We need to find the distance between (3, 8) and (-1, 11). Compute the distance between x1, y1, x2,…

Q: Verify that (3, 1) is the midpoint of the line segment joining (-2, 6) and (8, -4).

A: Consider a line segment AB such that A=x1, y1 & B=x2, y2 Let P be the midpoint of the line…