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A particle staring 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:

a
300
b
450
c
600
d
00

detailed solution

Correct option is C

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 of the particle makes an angle θ with the x-axis, thentan θ = slope of line OA = ABOB = 33 = 3or θ = 600

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