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Question -

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



Answer -

Given: Q (0, 1) is equidistant from P (5, – 3)and R (x, 6), which means PQ = QR

Step 1: Find the distance between PQ and QRusing distance formula,

Squaring both the sides, to omit square root

41 = x2+25

x= 16

x = ± 4

x = 4 or x = -4

Coordinates of Point R will be R (4, 6) OR R(-4, 6),

If R (4, 6), then QR

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