Number of equilateral triangles with $$y=3x-1+2$$ and $$y=3x$$ as two of its sides, is

Correct option is 4none of these

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Number of equilateral triangles with $y = \sqrt{3} (x - 1) + 2$ and $y = \sqrt{3} x$ as two of its sides, is

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Correct option is D

The sides are, y=3x-1+2 and y=-3xThe two lines are at an angle of 60° to each other. Now any line parallel to obtuse angle bisector will make equilateral triangle with these lines as its two sides.

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Number of equilateral triangles with y=3x-1+2 and y=3x as two of its sides, is

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Number of equilateral triangles with $y = \sqrt{3} (x - 1) + 2$ and $y = \sqrt{3} x$ as two of its sides, is