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NEET Sample Paper NEET Sample Test Paper-60

  • question_answer
    A particle starting from the origin (0,0) moves in straight line in the (x, y) plane. Its coordinates at a later time are\[\left( \sqrt{3},3 \right)\]. The path of the particle makes with the x-axis an angle of:

    A) \[\frac{\pi }{4}\]                        

    B) \[\frac{\pi }{6}\]

    C) \[\frac{\pi }{3}\]                        

    D) \[0{}^\circ \]

    Correct Answer: C

    Solution :

    [c] \[{{r}_{1}}=0\] \[{{r}_{2}}=\sqrt{3\hat{i}}+3\hat{j}\] Slope = tan \[\theta =\frac{{{r}_{y}}}{{{r}_{x}}}=\frac{3}{\sqrt{3}}\]             \[tan\theta =\sqrt{3}\]             \[\theta =60{}^\circ \,\,or\frac{\pi }{3}\]


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