Question

The locus of all points equidistant from two given points is

• A. a point
• B. a circle
• C. a straight line
• D. two straight lines

Answer 1

The correct option is C a straight line

As per figure given we draw points equal distance $P$ ,$Q$ ,$R$ and $S$ from two point $A$ and $B$.

Then we find the locus of points equidistant from these two points, we will always find the same thing: that the locus of points is actually the perpendicular bisector of the segment that joins the two points.

Then the all point equidistant from point $A$ and $B$ are straight lines.