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a) A point p(x, y) moves such that its perpendicular distance from the y-axis is 3.5 times its perpendicular distance from the x-axis. b) Find the equation of the parabola given the Focus (2,1) and directrix x = -4. c) Find the equation of the line the passes through the intersection of the two lines 3x - y + 5 = 0 and 2x + y + 3 = 0, and is perpendicular to the linex - ²x-y-1=0

a) A point p(x, y) moves such that its perpendicular distance from the y-axis is 3.5 times its perpendicular distance from the x-axis. b) Find the equation of the parabola given the Focus (2,1) and directrix x = -4. c) Find the equation of the line the passes through the intersection of the two lines 3x - y + 5 = 0 and 2x + y + 3 = 0, and is perpendicular to the linex - ²x-y-1=0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 2. a) A point p(x, y) moves such that its perpendicular distance from the y-axis is 3.5 times its **** perpendicular distance from the x-axis. b) Find the equation of the parabola given the Focus (2,1) and directrix x = -4. Find the equation of the line the passes through the intersection of the two lines 3x - y + 5 = 0 and 2x + y + 3 = 0, and is perpendicular to the linex - y - 1 = 0
Transcribed Image Text:Question 2. a) A point p(x, y) moves such that its perpendicular distance from the y-axis is 3.5 times its **** perpendicular distance from the x-axis. b) Find the equation of the parabola given the Focus (2,1) and directrix x = -4. Find the equation of the line the passes through the intersection of the two lines 3x - y + 5 = 0 and 2x + y + 3 = 0, and is perpendicular to the linex - y - 1 = 0
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