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.
Coordinate Geometry
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Question

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.

KnowledgeBoat · Accepted Answer

By formula, Distance between two points (D) = Given, Q(0, 1) is equidistant from P(5, –3) and R(x, 6). ∴ PQ = QR Substituting values we get : Squaring both sides we get : When x = 4, P = (5, -3), Q = (0, 1) and R = (4, 6). When x = -4, P = (5, -3), Q = (0, 1) and R = (-4, 6). Hence, x =

Mathematics

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.

Coordinate Geometry

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