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Question
Which point on x-axis is equidistant from the points A(7, 6) and B(–3, 4)?
Options
(0, 4)
(–4, 0)
(3, 0)
(0, 3)
MCQ
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Solution
(3, 0)
Explanation:
Let P(x, 0).
Equate squared distances:
(x – 7)2 + (0 – 6)2 = (x + 3)2 + (0 – 4)2
⇒ (x – 7)2 + 36 = (x + 3)2 + 16
⇒ x2 – 14x + 85 = x2 + 6x + 25
⇒ –20x = –60
⇒ x = 3
So, P = (3, 0).
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