Straight Line Question 208
Question: A straight line cuts off an intercept of 2 units on the positive direction of x-axis and passes through the point (-3, 5). What is the foot of the perpendicular drawn from the point (3, 3) on this line?
Options:
A) $ (1,3) $
B) $ (2,0) $
C) $ (0,2) $
D) $ (1,1) $
Correct Answer: D $ \Rightarrow (y-5)=( \frac{0-5}{2+3} )(x+3) $ $ \Rightarrow y=-x+2 $ ?. (1)
Slope $ =m=-1 $
and slope of perpendicular line $ =-\frac{1}{m}=1 $
Equation of this line passing through (3, 3) is:
$ (y-3)=1(n-3) $ $ \Rightarrow y=x. $
From eq. (1) we get,
$ x=-x+2 $ $ \Rightarrow x=1andy=1. $
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BETA
