Straight Line Question 323

Question: Equation of the hour hand at 4 O? clock is

Options:

A) $ x-\sqrt{3}\ y=0 $

B) $ \sqrt{3}\ x-y=0 $

C) $ x+\sqrt{3}\ y=0 $

D) $ \sqrt{3}\ x+y=0 $

Show Answer

Answer:

Correct Answer: C

Solution:

  • 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 $ .