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What will be the point on the xaxis, which is eduidistant from the points (7, 6) and (–3, 4)
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- (6, 0)
- (–2, 0)
- (4, 0)
- (3, 0)
Correct Option: D
Let the point on x-axis be P(x, 0)
A.T.Q
PA = PB
⇒ PA2 = PB2
(x + 3)2 + (4 – 0)2 = (x – 7)2 + (6 – 0)2
x2 + 9 + 6x + 16 = x2 + 49 – 14x + 36
x2 + 6x + 25 = x2 – 14x + 85
20x = 60
x = 3
∴ Point P is (3, 0)
