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 C
-
60o C
-
00
Solution
C.
60o C
The slope of the path of the particle gives the measure of angle required.
Draw the situation as 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 pf the particle makes and angle θ with the x -axis, then
tan θ = slope of line OA