Find the linear relation between x and y such that P(x, y) is equidistant from the points A(1, 4) and B(–1, 2).
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PA = PB
⇒ PA2 = PB2
⇒ (x – 1)2 + (y – 4)2 = (x + 1)2 + (y – 2)2
⇒ x2 + 1 – 2x + y2 + 16 – 8y = x2 + 1 + 2x + y2 + 4 – 4y
⇒ x + y – 3 = 0
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Answer:
x+y -3=0
x+y= 3
Explanation:
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