the point A(2,7) lies on perpendicular bisector of the line segment joining the points P(5,-3) and Q(0,-4) is this true justify your answer
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The point A(2,7) bisect p(6,5) and Q(0,4)
So, A is the mid-point of line PQ then co-ordinates of A must be(x₁+x₂/2, y₁+y₂/2)
⇒ x₁+x₂/2= 6+0/2= 6/2= 3
and
⇒y₁+y₂/2=5+4/2= 9/2= 4.5
From this co-ordinates of A is (3,4.5)
But it is given that co-ordinates of A is (2,7)
hence,this statement is false
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