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Question

Locus of a point which moves so that its distance from the origin is thrice its distance from x axis is

A
a straight line
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B
a pair of straight lines
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C
a circle
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D
a parabola
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Solution

The correct option is A a straight line
Let point be P(x,y)

According to question distance from the origin is thrice the distance from xaxis. So,

x2+y2=3y

x2+y2=9y2...........[squaring both sides]

x2=8y2

Hence, x=8y or x=8y.........[equation of straight lines]

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