Question

if p(x y) is a point equidistant from the points a(6 -1) and b(2 3) show that x-y=3​

Answer 1

Answer:

see answer in picture

there are 2 methods

Step-by-step explanation:

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Answer 2

Given, ap = bp

=> (ap)² = (bp)²

=> [√(6-x)²+ (-1-y)²]² = [√(2-x)²+(3-y)²]²

=> (6-x)²+ (-1-y)² = (2-x)²+(3-y)²

By simplifying,

x-y = 3

Hence proved