The point A (2, 7) lies on the perpendicular bisector of the line segment joining the points P (5, - 3) and Q (0, 4).


False

As we know that a perpendicular bisector divides a line segment into two equal parts.


So, if A (2, 7) lies on perpendicular bisector of P (6, 5) and Q (0, - 4),


Then AP = AQ


By distance formula;





AQ =




As we can see AP ≠ AQ


Hence, the point A (2, 7) does not lie on the perpendicular bisector of the line segment PQ.


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