First slide

Equation of line in Straight lines

Question

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

Easy

A

0
B

1
C

2
D

Infinite

Solution

$The sides given are y = \sqrt{3} (x - 1) + 2 and y = - x .$
Lines are at an angle $60^{0}$ to each other.
Now any line parallel to obtuse angle bisector will make equilateral triangle with these lines as its two sides.
Therefore, infinitely many lines.

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