# The displacement-time graphs of two particles 𝐴 and 𝐵 are straight lines making angles of respectively 30° and 60° with the time axis. If the velocity of 𝐴 is 𝑣𝐴 and that of 𝐵 is 𝑣𝐵, then the value of 𝑣𝐴 𝑣𝐵 is

Question : The displacement-time graphs of two particles 𝐴 and 𝐵 are straight lines making angles of respectively 30° and 60° with the time axis. If the velocity of 𝐴 is 𝑣𝐴 and that of 𝐵 is 𝑣𝐵, then the value of 𝑣𝐴 𝑣𝐵 is

(A) $\dfrac{1}{2}$

(B) $\dfrac{1}{\sqrt{3}}$

(C) $\sqrt{3}$

(D) $\dfrac{1}{3}$