Question

A particle starting from the origin $(0,0)$ moves in a straight line in the $(x, y)$ plane. Its coordinates at a later time are $(\sqrt{3}, 3)$. The path of the particle makes with the $x$-axis an angle of

• A. $30^{\circ}$
• B. $45^{\circ}$
• C. $60^{\circ}$
• D. $0^{\circ}$

Answer 1

Answer: (C)

$60^{\circ}$

Answer 2

Draw the situation as shown. $O A$ represents the path of the particle starting from origin $O(0,0)$. Draw a perpendicular from point $A$ to $x$-axis. Let path of the particle makes an angle $\theta$ with the $x$-axis, then $\tan \theta=$ slope of line $O A$ $=\frac{A B}{O B}=\frac{3}{\sqrt{3}}=\sqrt{3}$ or $\theta =60^{\circ}$