Mathematics
AB is a line segment. A point P moves in such a way that the triangle APB is always an isosceles triangle with base AB. The locus of point P is the line which :
is parallel to AB
is perpendicular to AB
is perpendicular bisector of AB
passes through the mid-point of AB.
Locus
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Answer
Steps of construction :
Draw a line segment AB.
Draw XY, the perpendicular bisector of AB.
We know that,
Locus of a point equidistant from two given points is the perpendicular bisector of the line joining the two points.
∴ Any point P on the line XY, will be such that PA = PB.
Hence, Option 3 is the correct option.
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