Q. 24.6( 5 Votes )
If the point A(0, 2) is equidistant from the points B(3, p) and C(p, 5), find p.
Answer :
According to question-
AB = AC
taking square on both sides, we get-
AB2 = AC2
⇒ (0-3)2 + (2-p)2 = (0-p)2 + (2-5)2
[using distance formula, the distance between points (x1,y1) and (x2,y2) is equal to 
units.]
⇒ 9 + 4 + p2 - 4p = p2 + 9
⇒ 4p-4 = 0
⇒ 4p = 4
∴ p = 1
Thus, the value of p is 1.
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