(a) Consider the line L1 given by the equation y = mx + a, which is perpendicular to another line L2. Both lines intersect at (-7, –7). (i) Find the value of the slope m of the line L1 (m E R and m # 0). Hint: use the intersection point. (ii) Find the slope of the line L2 which is perpendicular to L1. (iii) Find the equation of the line L2 in slope-intercept form. (b) Determine the equation of the circle whose centre is (-7, –7), and such that the point (-7,0) belongs to the circle.
(a) Consider the line L1 given by the equation y = mx + a, which is perpendicular to another line L2. Both lines intersect at (-7, –7). (i) Find the value of the slope m of the line L1 (m E R and m # 0). Hint: use the intersection point. (ii) Find the slope of the line L2 which is perpendicular to L1. (iii) Find the equation of the line L2 in slope-intercept form. (b) Determine the equation of the circle whose centre is (-7, –7), and such that the point (-7,0) belongs to the circle.
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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Transcribed Image Text:(a) Consider the line L1 given by the equation y = mx + 7, which is perpendicular to
another line L2. Both lines intersect at (-7, -n).
(i) Find the value of the slope m of the line L1 (m e R and m + 0). Hint: use
the intersection point.
(ii) Find the slope of the line L2 which is perpendicular to L1.
(iii) Find the equation of the line L2 in slope-intercept form.
(b) Determine the equation of the circle whose centre is (-n, –n), and such that the
point (-7,0) belongs to the circle.
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