MCQ
Equation of the hour hand at $4$ O’ clock is
- A$x - \sqrt 3 \;y = 0$
- B$\sqrt 3 \;x - y = 0$
- ✓$x + \sqrt 3 \;y = 0$
- D$\sqrt 3 \;x + y = 0$
✓
Answer
Correct option: C.
$x + \sqrt 3 \;y = 0$
c
(c) Since the hour, minute and second hands always pass through origin because one end of these hands is always at origin. Now at $4$ O’ clock, the hour hand makes ${30^o}$angle in fourth quadrant. So the equation of hour hand is
(c) Since the hour, minute and second hands always pass through origin because one end of these hands is always at origin. Now at $4$ O’ clock, the hour hand makes ${30^o}$angle in fourth quadrant. So the equation of hour hand is
$y = mx \Rightarrow y = - \frac{1}{{\sqrt 3 }}x$
$ \Rightarrow x + \sqrt 3 y = 0$.
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