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The point $(x$ , 7) is at a distance of $85$ units from the point (2, 1).
Find a positive value of $x$ .

Class 10Distance FormulaGeometry — Coordinates

A8
B9
C18
D10

Step-by-Step Solution

(x - 2)^{2} + (7 - 1)^{2} = 85

. So

(x - 2)^{2} + 36 = 85

, giving

(x - 2)^{2} = 49, x - 2 = 7, x = 9

(positive value).

Answer: B) 9

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