Straight Line Question 150
Question: The foot of the perpendicular on the line 3x+y= $ \lambda $ drawn from the origin is C. if the line cuts the x-and the y-axis at A and B, respectively, then BC:CA is
Options:
A) 1 : 3
B) 3 : 1
C) 1 : 3
D) 9 : 1
Correct Answer: D [d] $ \tan (180{}^\circ -\theta )= -\tan \theta $ slope of $ AB=-3 $ $ \therefore \tan \theta =3 $ $ \therefore \frac{OC}{AC}=\tan \theta ,\frac{OC}{BC}=\cot \theta $ or $ \frac{BC}{AC}=\frac{\tan \theta }{\cot \theta }={{\tan }^{2}}\theta =9 $
Show Answer
Answer:
Solution:
BETA
