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What is the equation of the line representing the hour hand at 4 o’clock?

1. x - √3y = 0
2. √3x - y = 0
3. x + √3y = 0
4. √3x + y = 0

Correct answer: x + √3y = 0

Solution

At 4 o'clock the hour hand is 120 deg clockwise from 12 (the +y axis), i.e. at -30 deg from the +x axis, with slope tan(-30) = -1/sqrt(3). The line through the origin is y = -x/sqrt(3), i.e. x + sqrt(3)y = 0.

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