SOLUTION: Find a formula that expresses the fact that an arbitrary point P(x, y) is on the perpendicular bisector ℓ of segment AB. A(−4, 7), B(8, −13)

Question 992589: Find a formula that expresses the fact that an arbitrary point P(x, y) is on the perpendicular bisector ℓ of segment AB.
A(−4, 7), B(8, −13)
Answer by anand429(138) (Show Source): You can put this solution on YOUR website!
Any pt. on perpendicular bisector of a line segment is equidistant from both the end points.
So, Distance from P to A = Distance from P to B
=>
Squaring both sides, & simplifying,

=>
=> represents all such points P as required.
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SOLUTION: Find a formula that expresses the fact that an arbitrary point P(x, y) is on the perpendicular bisector &#8467; of segment AB. A(&#8722;4, 7), B(8, &#8722;13)

SOLUTION: Find a formula that expresses the fact that an arbitrary point P(x, y) is on the perpendicular bisector ℓ of segment AB. A(−4, 7), B(8, −13)