find the equation of locus of a point such that it's distance from the origin is three times it's distance from x axis
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Answer:Let point be P(x,y)
According to question distance from the origin is thrice the distance from x−axis. So,
x
2
+y
2
=3y
⟹x
2
+y
2
=9y
2
...........[squaring both sides]
⟹x
2
=8y
2
Hence, x=
8
y or x=−
8
y.........[equation of straight lines
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