Geometrymedium · Past Paper

Find the value of k if the distance between (3, k) and (4, 1) is sqrt(10).

A4 or -2
B3 or -1
C2 or -4
D5 or 1

✓ Correct Answer: A4 or -2

(4-3)^2 + (1-k)^2 = 10 => 1 + (1-k)^2 = 10 => (1-k)^2 = 9 => 1-k = +/-3. k=4 or k=-2.

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