3. A point moves in such a way that its distance from the line 4x-3y+12= 0 is always equal to its distance from point A (-3, -2);  Determine the equation of that locus.  5. Find the equation of the locus of a point that moves in such a way that its distance from the line x + 5 = 0 is always equal to its distance from point A (5, 0);  Draw this locus.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3. A point moves in such a way that its distance from the line 4x-3y+12= 0 is always equal to its distance from point A (-3, -2);  Determine the equation of that locus.

 5. Find the equation of the locus of a point that moves in such a way that its distance from the line x + 5 = 0 is always equal to its distance from point A (5, 0);  Draw this locus.

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