First slide

Equation of line in Straight lines

Question

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

Moderate

A

0
B

1
C

2
D

none of these

Solution

The sides are, $y = \sqrt{3} (x - 1) + 2$ and $y = - \sqrt{3} x$
The 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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