Straight Line Question 241
Question: The length of the perpendicular from the origin to a line is 7 and line makes an angle of $ 150{}^\circ $ with the positive direction of y-axis, then the equation of the line is
Options:
A) $ \sqrt{3}x+y=7 $
B) $ \sqrt{3}x-y=14 $
C) $ \sqrt{3}x+y+14=0 $
D) $ \sqrt{3}x+y-14=0 $
Correct Answer: D $ \therefore $ Equation of the required line is $ x\cos 30{}^\circ +y\sin 30{}^\circ =7 $ or $ x\frac{\sqrt{3}}{2}+y\times \frac{1}{2}=7 $ or $ \sqrt{3}x+y=14 $Show Answer
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