Locus Question? (1 Viewer)

Zokunu · Jul 20, 2013

Describe the locus of a point which moves equidistant from the points (0,2) and (0,-2)?

I've the answer, but i still don't get it. Working out will be nice THX

Kurosaki · Jul 20, 2013

Zokunu said:
Describe the locus of a point which moves equidistant from the points (0,2) and (0,-2)?

I've the answer, but i still don't get it. Working out will be nice THX

OK, isn't it just y=0? You can tell by looking at the graph.

Let the P be P (x,y), A be (0,2), B be (0.-2)
PA= $\sqrt {x^2+(y-2)^2}$
PB= $\sqrt {x^2+(y+2)^2}$
Therefore $PA^2= {x^2+(y-2)^2}$ , and $PB^2= {x^2+(y+2)^2}$ .
Expand both sides and cancel terms and you get y=0

Zokunu · Jul 20, 2013

Kurosaki said:
OK, isn't it just y=0? You can tell by looking at the graph.

Let the P be P (x,y), A be (0,2), B be (0.-2)
PA= $\sqrt {x^2+(y-2)^2}$
PB= $\sqrt {x^2+(y+2)^2}$
Therefore $PA^2= {x^2+(y-2)^2}$ , and $PB^2= {x^2+(y+2)^2}$ .
Expand both sides and cancel terms and you get y=0

mhm ye that's the answer. Thx man

Locus Question? (1 Viewer)

Zokunu

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Kurosaki

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Zokunu

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