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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

Asked in NEET 2007 · Direction of the resultant

• (1) 45°
• (2) 60°
• (3) 0°
• (4) 30°

Step-by-step solution

Why the other options are wrong

• (1) 45° would need equal coordinates, but here y is √3 times x.
• (3) A zero angle would mean the particle stayed on the x-axis, yet it has risen to y=3.
• (4) Inverts the ratio: tan 30°=1/(√3) corresponds to the point (3,√3), not (√3,3).

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