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Questions  

 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 

a
2/15
b
3/5
c
4/5
d
None of these

detailed solution

Correct option is A

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 15cosec⁡60∘=215

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