the locus of points in a plane at a given distance from a given point is?

1 point
one line
a pair of lines
a circle

IS IT A CIRCLE?

Question

the locus of points in a plane at a given distance from a given point is? 

1 point
one line 
a pair of lines 
a circle

IS IT A CIRCLE?

directrix · Answer

Yes. Do you want to draw a diagram to be sure?

anonymous · Answer

no thats ok i just wanted a second opinion thank you!

directrix · Answer

Glad to provide a second opinion.

anonymous · Answer

how about this... is this also a circle? 

Rays  and  are noncollinear. What is the locus of points equidistant from BA and BC?

the bisector of angle B
a circle with center at B
the perpendicular bisector of 
one line parallel to  and one line parallel to

directrix · Answer

The names of the two rays did not show up: >>Rays  and  are ...
What are they?

anonymous · Answer

sorry! rays BA and BC

directrix · Answer

It is not a circle. On these locus problems, the best line of attack is to sketch a "suggestive" diagram that will suggest what the locus is. I'm about to do that here.

directrix · Answer

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