Mathematics
Point P(x, y) is equidistant from points A(7, 1) and B(3, 5).
Statement 1: x = and y = .
Statement 2: (x - 7)2 + (y - 1)2 = (x - 3)2 + (y - 5)2.
Both the statement are true.
Both the statement are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Section Formula
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Answer
It is given that point P(x, y) is equidistant from points A(7, 1) and B(3, 5).
If a point is equidistant from two points it is not necessary that it will be the mid-point of the two points, sp we cannot use mid-point formula to find the co-ordinates of P.
So, statement 1 is false.
Using distance formula,
Distance between two points =
⇒ PA = PB
⇒
⇒ (x - 7)2 + (y - 1)2 = (x - 3)2 + (y - 5)2
So, statement 2 is true.
Hence, option 4 is the correct option.
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