Consider the points A(-2,4), B(4,6), and C(2,-6). (i) Find the equation of the line which passes through point C and is perpendicular to line AB. Express your equation in y= mx + b form. (ii) Determine whether triangle ABC is a right triangle (or not). Explain your reasoning. (iii) Find the equation of the circle for which segment AB is a diameter.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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3. Consider the points A(-2,4), B(4,6), and C(2,-6)..
(i)
Find the equation of the line which passes through point C and is perpendicular to line AB.
Express your equation in y= mx + b form.
(ii) Determine whether triangle ABC is a right triangle (or not). Explain your reasoning.
(iii) Find the equation of the circle for which segment AB is a diameter.
Transcribed Image Text:3. Consider the points A(-2,4), B(4,6), and C(2,-6).. (i) Find the equation of the line which passes through point C and is perpendicular to line AB. Express your equation in y= mx + b form. (ii) Determine whether triangle ABC is a right triangle (or not). Explain your reasoning. (iii) Find the equation of the circle for which segment AB is a diameter.
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