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If Q(0, 1) is equidistant from P(5, –3) and R(x, 6), find the values of x. Also find the distances QR and PR.

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Answer:

PQ = QR
image
41 = x2 + 25
16 = x2
x = ±4
Therefore, point R is (4, 6) or ( - 4, 6).
When point R is (4, 6),
image

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