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 . The path of the particle makes with the x-axis an angle of
30o
45o
60o
0o
Solution
C.
60o
Draw the situation as Y shown. OA 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 0 with the x-axis, then
tan θ = slope of line OA
⇒ θ = 60o