Question

If the points (0,0), (2, 2root3) and (p, q) are the vertices of an equilateral triangle, then (p, q) is (A) (0, -4) (B) (4, 4) (C) (4, 0) (D) (5, 0)

Answer 1

Answer:

None of the options are correct

Step-by-step explanation:

root((0-2)^2 + (0-2root3)^2) = 4

p^2+q^2 = 16

(p-2)^2+(q-2root3)^2 = 16

p^2+4-4pq+q^2+12-4q*root3 = 16

-4pq-4q*root3 +16 =0

4q*(p+root3) = 16