Straight Line Question 16

Question: A straight line $ (\sqrt{3}-1)x=(\sqrt{3}+1)y $ makes an angle $ 75^{o} $ with another straight line which passes through origin. Then the equation of the line is

Options:

A) $ x=0 $

B) $ y=0 $

C) $ x+y=0 $

D) $ x-y=0 $

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Answer:

Correct Answer: A

Solution:

  • We know that $ \frac{\sqrt{3}+1}{\sqrt{3}-1}=\tan 75^{o} $ Hence the line makes an angle of $ 75^{o} $ with y- axis, so the equation of y-axis is $ x=0 $ .