Geometrymedium · Past Paper

What is the length of the perpendicular from origin to the line 3x + 4y - 10 = 0?

A2
B5
C10
D1

✓ Correct Answer: A2

Length = |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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