Straight Line Question 301
Question: The equations of the lines passing through the point (1, 0) and at a distance $ \frac{\sqrt{3}}{2} $ from the origin, are
Options:
A) $ \sqrt{3}x+y-\sqrt{3}=0,\ \ \sqrt{3}x-y-\sqrt{3}=0 $
B) $ \sqrt{3}x+y+\sqrt{3}=0,\ \ \sqrt{3}x-y+\sqrt{3}=0 $
C) $ x+\sqrt{3}y-\sqrt{3}=0,\ \ x-\sqrt{3}y-\sqrt{3}=0 $
D)None of these
Correct Answer: A
Show Answer
Answer:
Solution:
Þ $ | \frac{-m}{\sqrt{1+m^{2}}} |=\frac{\sqrt{3}}{2} $
Þ $ m=\pm \sqrt{3} $ . Hence the lines are $ \sqrt{3}x+y-\sqrt{3}=0 $ and $ \sqrt{3}x-y-\sqrt{3}=0 $ .
BETA
