Question

If A(a, b), B(a + r cos α, b + r sin α) and C(a + r cosβ , b + r sin β) are the vertices of an equilateral triangle then

(a) |α - β| = π/4

(b) |α + β| = π/2

(c) |α - β| = π/6

(d) |α - β| = π/3

Answer 1

Correct option (d) |α - β| = π/3

Explanation :

ΔABC is an equilateral triangle implies

AB = BC = CA