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  3. JEE Main & Advanced

JEE Main & Advanced Sample Paper JEE Main Sample Paper-2

  • question_answer
    If the points \[(-2,\,0),\,\left( -1,\,\frac{1}{\sqrt{3}} \right)\] and \[(\cos \theta ,\,\sin \theta )\] are collinear, then the number of values of \[\theta \in \,[0,\,2\pi ]\] are:

    A)  0                                            

    B)  1

    C)  2                                            

    D)  infinite

    Correct Answer: B

    Solution :

    \[\frac{\sin \theta }{\cos \theta +2}=\frac{1}{\sqrt{3}}\] \[\Rightarrow \]               \[\sqrt{3}\sin \theta -\cos \theta =2\] \[\Rightarrow \]               \[\sin \left( \theta -\frac{\pi }{6} \right)=1\] \[\Rightarrow \]               \[\theta =\frac{2\pi }{3}\]


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