PointHard
Question
If one vertex of an equilateral triangle of side ′a′ lies at the origin and the other lies on the line x - 
= 0 , then the co-ordinates of the third vertex are -
= 0 , then the co-ordinates of the third vertex are -Options
A.(0, a)
B.
C.(0, -a)
D.
Solution
Possible points on the line √3 y- x = 0 as second vertex of the equilateral triangle are A and A′ correspondingly possible coordinates of the 3rd vertex are B(0, a), C(a cos 30o, - a sin 30o),
B′ (-a cos 30o, a sin 30o), C′ (0, - a)
≡ B(0, a), C
, B′ 
, C (0, -a)Create a free account to view solution
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