Question
Question: Number of equilateral triangles with y = \(\sqrt { 3 }\)(x – 1) + 2 and y = – \(\sqrt { 3 }\)x as t...
Number of equilateral triangles with y = 3(x – 1) + 2 and
y = – 3x as two of its sides, is-
A
0
B
1
C
2
D
None of these
Answer
None of these
Explanation
Solution
Sides given are y = 3 (x – 1) + 2 & y = – 3 x Lines are at an angle 60º to each other. Now any line parallel to obtuse angle bisector will make equilateral triangle with these lines as its 2 sides.
\ infinitely many lines