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
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a
2/15
b
3/5
c
4/5
d
None of these
answer is A.
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Detailed Solution
The given lines are y+2x=1 and y+2x=2 . The distance between the lines is (2−1)5=15In the triangle cosec 600=PR15The side length (PR) of the triangle is 15cosec60∘=215
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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