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
View Solution FreeMore Point Questions
If the distance of any point P from the point A (a + b, b − a) and B(a − b, a + b) are equal, then locus of ...If the point dividing internally the line segment joining the points (a, b) and (5, 7) in the ratio 2 : 1 be (4, 6), the...An equilateral triangle whose circumcentre is (−2, 5) one side is on y- axis then length of side of triangle is-...If the points (1, 1) (-1, -1) and (- √3 , k) are vertices of an equilateral triangle then the value of k will be -...In the ᐃABC, the coordinates of B are (0, 0), AB = 2, ∠ABC = π/3 and the middle point of BC has the coo...