Geometrymedium · Past Paper

Find the length of the perpendicular from the origin to the line 3x + 4y = 10.

A2
B5
C10
D1

✓ Correct Answer: A2

Distance = |ax1 + by1 + c| / sqrt(a^2 + b^2) = |3(0) + 4(0) - 10| / sqrt(3^2 + 4^2) = 10 / 5 = 2.

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