Find the equation of locus of a point which is at a distance 5 from A (4, -3)
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Let P(x,y)P(x,y) be the point Its distance from A(−5,0)A(−5,0) is
PA=(x+5)2+y2−−−−−−−−−−−√PA=(x+5)2+y2
its distance from the line x=−165x=−165 is PH=∣∣∣x+165∣∣∣PH=|x+165|
PA=54PH→PA2=2516PH2PA=54PH→PA2=2516PH2
so we have
(x+5)2+y2=2516(x+165
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