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

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2/15

3/15

4/15

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=1/5.The side length of the triangle is 15cosec600=215

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