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Motion In A Plane

Question
CBSEENPH11026171

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 3, 3. 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 

tan θ = ABOB          =33tan θ  = 3

⇒ θ  = 60o