Straight Line Question 248
P is a point on the line $ y+2x=1, $ and Q and R are two points on the line $ 3y+6x=6 $ such that triangle PQR is an equilateral triangle. The length of the side of the triangle is
Options:
A) $ 2/\sqrt{15} $
B) $ 3/\sqrt{5} $
C) $ 4/\sqrt{5} $
D) None of these
Correct Answer: A The given lines are $ y+2x=1 $ and $ y+2x=2. $ The distance between the lines is $ (2-1)/\sqrt{5}=1/\sqrt{5}. $ The side length of the triangle is $ \frac{1}{\sqrt{5}}\csc60{}^\circ =\frac{2}{\sqrt{15}}. $
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Answer:
Solution:
BETA
